Skip to topic
    ← Back to course topics

    Subject content: Philosophical terminology — AQA A-Level Philosophy

    Teaching note based on the AQA specification.

    Test yourself on Subject content: Philosophical terminology with AQA A-Level practice questions.

    Start free

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Subject content: Philosophical terminology explained

    Subject content: Philosophical terminology covers 13 specification points, including assertion/claim, proposition and antecedent/consequent.

    Read the full explanation

    Open a point below for its explanation and revision guidance.

    assertion/claim, proposition

    In AQA A-level Philosophy, terminology must be used precisely. An assertion or claim is something put forward as true or false — a statement with truth-evaluable content, such as 'the table is brown'. A proposition is the content that such a statement expresses, considered apart from the particular sentence or speaker: 'snow is white' and 'la neige est blanche' can express the same proposition. The distinction matters because arguments are assessed in terms of propositions (what is claimed) rather than the words used. A question or command is not normally an assertion because it does not claim anything true or false. When answering, identify whether the item claims something truth-evaluable, then separate the proposition from its wording.

    antecedent/consequent

    In conditional reasoning, a conditional has the form 'if P then Q'. The antecedent is the 'if' clause (P); the consequent is the clause that follows (Q). For example, in 'if it is raining, then the ground is wet', 'it is raining' is the antecedent and 'the ground is wet' is the consequent. Recognising these parts is essential for assessing valid and invalid inferences: affirming the antecedent (P, therefore Q) is valid, whereas affirming the consequent (Q, therefore P) is invalid. Denying the consequent (not Q, therefore not P) is valid, but denying the antecedent (not P, therefore not Q) is invalid. Precise identification of antecedent and consequent underpins evaluating arguments.

    analytic/synthetic

    The analytic/synthetic distinction classifies how a proposition's truth relates to its meaning. An analytic proposition is true (or false) in virtue of the meanings of its terms alone, so denying it produces a contradiction: 'all bachelors are unmarried' is analytic because 'bachelor' means unmarried man. A synthetic proposition's truth depends on how the world actually is, adding information beyond the concepts: 'all bachelors are unhappy' is synthetic because it could be true or false depending on facts about bachelors. The distinction is about the source of truth, not about how we come to know it, so keep it separate from a priori/a posteriori. A useful test: ask whether the predicate is already contained in the subject concept. If yes, analytic; if the predicate adds independent content requiring worldly verification, synthetic.

    a priori/a posteriori

    The a priori/a posteriori distinction classifies how a proposition is known or justified. A priori knowledge is independent of experience: it can be justified by reason alone, as with '2 + 2 = 4' or 'all bachelors are unmarried', where no observation is needed to see the truth. A posteriori knowledge depends on experience: 'the cat is on the mat' or 'water boils at 100 °C at sea level' can only be justified by observation or empirical evidence. The distinction concerns justification, not the origin of the concepts, so a proposition can involve empirical concepts yet be known a priori if its justification does not rest on experience. Keep this separate from analytic/synthetic, which concerns the basis of truth rather than how it is known. A useful test: ask whether any observation could overturn or is required to establish the claim.

    necessary/contingent

    A necessary truth cannot be false: its denial is self-contradictory, as when we say a bachelor is an unmarried man, or that 7 + 5 = 12. A contingent truth happens to be so but could have been otherwise: 'the kettle is boiling' is contingent because the kettle might have been cold. The distinction concerns modality, not how certain we feel. Test a claim by asking whether a coherent scenario exists in which it fails. If none exists, it is necessary; if one exists, it is contingent. Note that necessity comes in kinds (logical, mathematical, conceptual) and that some philosophers dispute whether any non-trivial necessity is mind-independent. In multiple choice, eliminate options that confuse necessity with certainty, with universal agreement, or with being merely well supported by evidence.

    consistent/inconsistent

    A set of propositions is consistent when they can all be true together: there is at least one possible situation in which every member is true. A set is inconsistent when they cannot all be true together, because at least one must be false if the others are true, as with 'all swans are white' and 'this swan is black'. Consistency is a property of a whole set, not of a single proposition, and it does not require the members actually to be true: two false claims can be perfectly consistent. Nor does consistency require the propositions to support one another; they may be unrelated yet compatible. Test a set by asking whether a coherent description exists in which all members hold. Distinguish this from validity, which concerns whether a conclusion follows from premises, and from truth, which concerns actual fact.

    objective/subjective

    This terminology row asks you to distinguish objective from subjective claims and to use both terms precisely. An objective claim purports to be true or false independently of what anyone thinks or feels: 'water boils at 100 °C at sea level' is offered as a mind-independent fact. A subjective claim depends on a subject's experience, attitude or perspective: 'this soup is too salty for me' reports how it seems or feels to someone. The distinction is about the kind of claim being made, not about how confident the speaker is. A claim can be objective in form yet false, and a subjective report can be sincere and accurate as a report. In multiple-choice questions, test each option by asking whether its truth would change if everyone's attitudes changed. If yes, it is subjective; if the claim purports to hold regardless, it is objective.

    tautology

    This terminology row requires you to recognise and explain a tautology. A tautology is a statement that is true solely in virtue of its logical form or the meanings of its terms, so it cannot be false: 'either it is raining or it is not raining' is true whatever the weather, and 'all bachelors are unmarried' is true by the meaning of 'bachelor'. The negation of a tautology is a contradiction, which cannot be true. Do not confuse a tautology with a merely obvious truth, a repeated word, or a claim that happens to be true. 'Triangles have three sides' is true by meaning; 'grass is green' is not a tautology because we can coherently imagine it false. In multiple-choice questions, test an option by asking whether any possible situation could make it false. If none could, it is tautological; if some could, it is not.

    dilemma

    A dilemma is a situation in which an agent faces two (or more) options, each of which carries an unwelcome consequence, so that no choice is cost-free. In philosophy the term is used both for practical dilemmas in ethics and for argumentative dilemmas, where an opponent is offered two alternatives and either leads to a conclusion they must accept. To handle the term, identify the options, state the cost attached to each, and check whether the dilemma is genuine: are the options exhaustive, and are the consequences really unavoidable? A classic illustration is the moral dilemma of whether to break a promise to help someone in urgent need, where keeping the promise and breaking it each carry a moral cost. Distinguish a dilemma from a mere difficulty (one unwelcome option) and from a paradox (an apparently self-contradictory result).

    paradox

    A paradox is a statement or set of statements that, from apparently acceptable premises and apparently valid reasoning, yields a conclusion that seems absurd or self-contradictory. The philosophical interest lies in diagnosing where the trouble arises: an ambiguous term, a false premise, an invalid step, or a genuine tension in our concepts. To handle the term, state the premises, the reasoning and the surprising conclusion, then ask which element should be revised. A classic illustration is the liar-style sentence that says of itself that it is false: if true it seems false, and if false it seems true. Distinguish a paradox from a dilemma (competing costs of choice) and from a plain contradiction (two claims that cannot both be true).

    prove/proof

    In AQA A-level Philosophy, 'prove' and 'proof' name the relation between premises and a conclusion in deductive argument. A proof succeeds when the premises entail the conclusion: if the premises are true, the conclusion cannot be false. This is validity, and a sound proof also needs true premises. Learners should distinguish proof from mere support: inductive evidence makes a conclusion probable but does not prove it, and a persuasive rhetoric or majority opinion proves nothing. Practise by taking a short argument, identifying its premises and conclusion, then asking whether any situation makes the premises true and the conclusion false. If none does, the argument is valid and the conclusion is proved relative to those premises. Note that proof is always relative to premises, never absolute, and that a valid argument with a false premise proves nothing about the world.

    true/false

    In AQA A-level Philosophy, 'true' and 'false' are truth values attributed to propositions, that is, to claims that can be assessed as correct or incorrect. A proposition is true when it corresponds to how things are, on the correspondence view, though rival theories such as coherence and pragmatist accounts are also studied and debated. Crucially, truth is distinct from belief: a proposition can be true even if nobody believes it, and widely believed claims can be false. Truth also differs from validity, which concerns the form of an argument rather than the truth of its parts, and from justification, which concerns the reasons someone has for holding a claim. When a multiple-choice item asks whether a statement is true or false, identify precisely what is being claimed, then test it against the relevant definition or argument rather than against your intuitions about the topic.

    justification

    Justification is the part of an argument that supplies the reason for accepting a claim. In AQA A-level Philosophy you must separate three things: the conclusion (what is being claimed), the premise or premises (the reasons offered) and the justification (the support those premises give to the conclusion). A conclusion on its own is assertion, not argument. Justification asks: what makes this claim acceptable? Support may be deductive, where the premises are meant to guarantee the conclusion, or inductive, where they make it probable. A useful method is to ask of any passage, 'What is claimed, and what is offered in its favour?' If nothing is offered, there is no justification. Distinguish justifying a belief from explaining its cause: a psychological explanation of why someone holds a view does not by itself show the view is true.

    Your focus

    1. Define an assertion/claim as a truth-evaluable statement.
    2. Distinguish a proposition from the sentence that expresses it.
    3. Explain why questions and commands are not assertions.
    Show all 39 objectives
    1. Identify the antecedent and consequent in a conditional statement.
    2. Distinguish valid from invalid conditional inferences.
    3. Apply the terminology to evaluate a short argument.
    4. Define an analytic proposition as true or false solely in virtue of the meanings of its terms.
    5. Define a synthetic proposition as true or false in virtue of how the world is.
    6. Apply the distinction correctly to classify given example propositions and justify the classification.
    7. Define a priori knowledge as justified independently of experience.
    8. Define a posteriori knowledge as justified by or dependent on experience.
    9. Apply the distinction correctly to classify given example propositions and justify the classification.
    10. Distinguish necessary from contingent claims using the test of whether a coherent denial is possible.
    11. Classify given examples correctly as necessary or contingent and justify the classification.
    12. Explain why certainty, universal agreement and repeated observation do not establish necessity.
    13. Define consistency and inconsistency for sets of propositions.
    14. Test a supplied set for joint truth-possibility.
    15. Distinguish consistency from validity and from truth.
    16. Distinguish objective claims from subjective claims using the criterion of dependence on attitudes or experience.
    17. Explain why the objectivity or subjectivity of a claim is separate from its truth value and from the speaker's confidence.
    18. Apply the distinction correctly to an unfamiliar example and justify the classification.
    19. Define a tautology and distinguish it from a contingent truth.
    20. Identify tautological statements using the negation test or a possible-situations test.
    21. Explain why the negation of a tautology is a contradiction.
    22. Define a dilemma and identify its competing options and costs.
    23. Distinguish a dilemma from a paradox and from a single unwelcome option.
    24. Apply the term correctly to a short philosophical example.
    25. Define a paradox and identify its premises, reasoning and surprising conclusion.
    26. Distinguish a paradox from a plain contradiction and from a dilemma.
    27. Explain how a paradox might be diagnosed or resolved.
    28. State the difference between a valid deductive proof and inductive support.
    29. Apply the counterexample test to decide whether premises prove a conclusion.
    30. Explain why proof is relative to premises and why soundness requires true premises.
    31. Explain what it means to call a proposition true or false.
    32. Distinguish truth from belief, validity and justification.
    33. Apply definitions accurately to decide the truth value of a given statement.
    34. Identify the conclusion and the justifying premise(s) in a short passage.
    35. Explain the difference between justifying a belief and explaining its cause.
    36. Distinguish deductive from inductive justification in a given example.

    Subject content: Philosophical terminology flashcards

    Card 1 of 8

    Assertion or claim

    Subject content: Philosophical terminology exam tips

    Marking Points
    • An assertion/claim is a statement put forward as true (or false), with truth-evaluable content.
    • A proposition is the content expressed by a declarative sentence, distinguishable from the sentence's wording or language.
    • Two sentences in different languages or phrasings can express the same proposition.
    • Questions, commands and exclamations are not normally assertions because they do not claim something true or false.
    • Arguments are evaluated in terms of the propositions asserted, not the particular words used.
    • A conditional statement has the form 'if P then Q'.
    • The antecedent is the 'if' clause (P).
    • The consequent is the clause following 'then' (Q).
    • Affirming the antecedent (P, therefore Q) is a valid inference.
    • Affirming the consequent (Q, therefore P) is invalid; denying the consequent (not Q, therefore not P) is valid.
    • An analytic proposition is true or false solely in virtue of the meanings of its constituent terms, so its denial yields a contradiction.
    • A synthetic proposition is true or false in virtue of how the world is, so it goes beyond what is contained in the concepts involved.
    • Correctly identifies that 'all bachelors are unmarried' is analytic because the predicate is contained in the meaning of 'bachelor'.
    • Correctly identifies that 'all bachelors are unhappy' is synthetic because it makes a factual claim about the world not guaranteed by meaning.
    • Distinguishes the analytic/synthetic distinction (source of truth in meaning versus world) from the a priori/a posteriori distinction (how knowledge is acquired).
    • Applies the containment test: whether the predicate concept is already included in the subject concept.
    • A priori knowledge is justified independently of experience, by reason or conceptual analysis alone.
    • A posteriori knowledge is justified by or dependent on experience and empirical evidence.
    • Correctly classifies a mathematical or definitional example such as '2 + 2 = 4' or 'all bachelors are unmarried' as a priori.
    • Correctly classifies an empirical example such as 'water boils at 100 °C at sea level' as a posteriori because observation is required.
    • Distinguishes the a priori/a posteriori distinction (how knowledge is justified) from the analytic/synthetic distinction (basis of truth in meaning versus world).
    • Applies the test of whether experience is required to justify the proposition.
    • A necessary truth is one whose negation is impossible or self-contradictory; it could not have been false.
    • A contingent truth is one that is actually the case but could have been otherwise; its negation is possible.
    • The distinction is modal (about possibility and impossibility), not about psychological certainty or strength of evidence.
    • Correct application: identifying a mathematical or definitional claim as necessary and an empirical observation as contingent.
    • Recognising that 'necessary' does not mean 'universally believed' or 'always observed so far'.
    • Defines consistency as the possibility of all propositions in a set being true together.
    • Defines inconsistency as the impossibility of all members being true together, so at least one must be false.
    • Recognises that consistency is a property of a set rather than of an isolated proposition.
    • Notes that consistency does not require the propositions to be true, only jointly possible.
    • Distinguishes consistency from validity and from truth.
    • Correctly classifies a supplied pair or set, e.g. 'all swans are white' with 'this swan is black' as inconsistent.
    • Correctly identifies an objective claim as one purporting to be true or false independently of anyone's attitudes or feelings.
    • Correctly identifies a subjective claim as one whose truth depends on a subject's experience, perspective or attitude.
    • Distinguishes the objectivity/subjectivity of a claim from the speaker's confidence, sincerity or strength of feeling.
    • Applies the distinction to a supplied example, explaining why the example falls on the chosen side rather than merely labelling it.
    • Recognises that a claim can be objective in form yet false, and that a subjective report can accurately report a feeling.
    • Defines a tautology as a statement true in virtue of logical form or meaning alone, which cannot be false.
    • Recognises a standard example, such as a disjunction of a proposition with its negation, as tautological.
    • Distinguishes a tautology from a contingent claim that merely happens to be true.
    • Explains that the negation of a tautology is a contradiction and so cannot be true.
    • Tests a candidate statement by asking whether any possible situation could make it false.
    • Defines a dilemma as a choice between alternatives where each option has an unwelcome consequence.
    • Identifies the two (or more) options and the cost attached to each.
    • Distinguishes a genuine dilemma from a single unwelcome option or a mere difficulty.
    • Checks whether the alternatives are exhaustive and the consequences unavoidable.
    • Recognises the argumentative use of a dilemma, where either alternative supports the same conclusion.
    • Distinguishes a dilemma from a paradox, which involves apparent self-contradiction rather than competing costs.
    • Defines a paradox as apparently acceptable premises and reasoning yielding an absurd or self-contradictory conclusion.
    • Identifies the premises, the reasoning and the surprising conclusion in an example.
    • Explains that resolving a paradox involves diagnosing an ambiguity, false premise or invalid step.
    • Distinguishes a paradox from a plain contradiction and from a dilemma.
    • Recognises that a paradox may reveal a genuine tension in our concepts rather than a simple error.
    • Defines proof as the relation in which premises entail a conclusion, so the conclusion cannot be false when the premises are true.
    • Distinguishes validity (form guarantees truth-preservation) from soundness (valid plus actually true premises).
    • Explains that inductive or empirical support makes a conclusion probable rather than proved.
    • Recognises that proof is relative to premises: a valid argument from false premises does not establish the conclusion.
    • Rejects appeals to popularity, authority or rhetoric as proof in the deductive sense.
    • Identifies truth and falsity as truth values belonging to propositions, that is, claims assessable as correct or incorrect.
    • Explains that truth is distinct from belief, so a proposition can be true even if unbelievved, and believed claims can be false.
    • Distinguishes truth from validity, which concerns the form of an argument rather than the truth of its components.
    • Distinguishes truth from justification, which concerns the reasons available for holding a claim.
    • Applies the relevant definition or argument to decide whether a specific statement is true or false.
    • Identifies the conclusion as the claim being justified and the premise(s) as the reasons offered in its support.
    • Recognises that a bare assertion with no supporting reason provides no justification.
    • Distinguishes deductive justification (premises intended to guarantee the conclusion) from inductive justification (premises making the conclusion probable).
    • Distinguishes justifying a belief (giving grounds for its truth) from merely explaining its cause or origin.
    • Selects the option that correctly locates the justifying reason rather than a restatement of the conclusion.
    Examiner Tips
    • 💡Ask 'could this be true or false?' to test whether something is an assertion.
    • 💡Separate the wording of a sentence from the proposition it expresses when explaining the distinction.
    • 💡Use a clear example, such as the same claim in two languages, to show the proposition is shared.
    • 💡Label P and Q explicitly before judging an inference.
    • 💡Check whether the argument affirms or denies the antecedent or the consequent.
    • 💡Use a concrete conditional example to test validity.
    • 💡Use the containment test explicitly: state whether the predicate is already contained in the subject concept before classifying.
    • 💡Keep the two distinctions separate in your answer; explicitly say that analytic/synthetic concerns the basis of truth, not how it is known.
    • 💡Illustrate with a clear pair such as 'all bachelors are unmarried' (analytic) and 'all bachelors are unhappy' (synthetic) to show you can apply the distinction.
    • 💡State clearly whether experience is required to justify the proposition before classifying it as a priori or a posteriori.
    • 💡Keep the distinction from analytic/synthetic explicit; say that a priori/a posteriori concerns justification, not the basis of truth.
    • 💡Use a contrasting pair such as '2 + 2 = 4' (a priori) and 'water boils at 100 °C at sea level' (a posteriori) to demonstrate application.
    • 💡Ask of each option: could a coherent scenario make this false? If yes, it is contingent; if no, necessary.
    • 💡Watch for distractors that swap in 'certain', 'obvious' or 'agreed by all' as if these meant necessary.
    • 💡For definitional and mathematical examples, state briefly why denial is contradictory to justify the necessary label.
    • 💡Ask whether you can describe one situation in which every member of the set is true.
    • 💡Separate the question of joint possibility from the question of actual truth.
    • 💡Eliminate options that apply consistency to a lone proposition or equate it with validity.
    • 💡Ask of each option: would this claim's truth change if everyone's attitudes changed? Use the answer to sort objective from subjective.
    • 💡Separate the claim's form from its content: 'I think that p' reports a mental state, whereas 'p' asserts a purported fact.
    • 💡When an option mixes a subjective report with an embedded objective-sounding judgement, state which part you are classifying and why.
    • 💡Apply the negation test: if the negation is a contradiction, the original is a tautology.
    • 💡Ask whether any possible situation could make the statement false; if none could, treat it as tautological.
    • 💡Separate meaning-based truth from empirical truth, and check whether the option depends on how the world happens to be.
    • 💡In an MCQ, eliminate options that describe only one unwelcome outcome, since a dilemma needs competing costs.
    • 💡Look for the option that mentions two alternatives each carrying a cost, rather than the option that merely says 'a hard choice'.
    • 💡Check whether the option confuses dilemma with paradox, and reject it if it does.
    • 💡In an MCQ, choose the option that mentions apparently acceptable premises and reasoning producing an absurd conclusion.
    • 💡Reject options that describe a paradox as simply a false statement or a plain contradiction.
    • 💡Check whether the option confuses paradox with dilemma, and eliminate it if it does.
    • 💡When asked to identify a proof, first label premises and conclusion explicitly before judging validity.
    • 💡Use a counterexample test: try to describe a situation where premises are true and conclusion false.
    • 💡Keep the terms validity, soundness and proof distinct in your answer to avoid losing credit.
    • 💡Read the exact wording of the statement before deciding, because a single qualifier can change the truth value.
    • 💡Ask which concept the item is testing, then apply that definition rather than general impressions.
    • 💡Where two options seem plausible, eliminate the one that confuses truth with belief, validity or justification.
    • 💡Underline the conclusion first, then look for the words 'because', 'since' or 'therefore' to locate the justifying reason.
    • 💡Ask whether the reason offered would actually support the claim, not merely whether it is related to it.
    • 💡Eliminate options that simply repeat the conclusion in different words, since repetition adds no justification.
    Common Mistakes
    • Treating any sentence as an assertion: correction — only declarative statements with truth-evaluable content count as assertions.
    • Confusing a proposition with the physical sentence: correction — the proposition is the content, which can be expressed by different sentences.
    • Assuming a proposition must be true: correction — a proposition is what is claimed; it may be true or false.
    • Reversing the parts, calling the 'then' clause the antecedent: correction — the antecedent is the 'if' clause.
    • Treating affirming the consequent as valid: correction — it is an invalid inference.
    • Assuming denying the antecedent is valid: correction — denying the antecedent is invalid; denying the consequent is valid.
    • Confusing analytic/synthetic with a priori/a posteriori: the correction is that the first concerns the basis of truth (meaning versus world) while the second concerns how a proposition is known.
    • Treating any obviously true statement as analytic: the correction is that empirical generalisations such as 'all humans are mortal' are synthetic because their truth depends on the world, not merely on meaning.
    • Assuming synthetic statements must be uncertain or false: the correction is that many synthetic statements are certainly true, such as 'water boils at 100 °C at sea level', because the world happens to be that way.
    • Thinking analytic statements are trivial or uninformative by definition: the correction is that analyticity concerns truth in virtue of meaning, not psychological informativeness.
    • Confusing a priori/a posteriori with analytic/synthetic: the correction is that the first concerns justification (reason versus experience) while the second concerns the basis of truth (meaning versus world).
    • Assuming a priori knowledge must be innate or known from birth: the correction is that a priori concerns independence from experience in justification, not the timing or origin of the belief.
    • Treating any widely accepted empirical claim as a priori because it seems obvious: the correction is that claims such as 'water boils at 100 °C at sea level' still require observation and are a posteriori.
    • Thinking a priori knowledge cannot involve empirical concepts: the correction is that a proposition may use empirical terms yet be justified by reason alone.
    • Treating 'necessary' as meaning 'certainly true' or 'strongly believed'; correction: necessity concerns whether the claim could be false at all, not confidence.
    • Assuming any universally accepted claim is necessary; correction: universal agreement is an empirical fact about believers, not a modal property of the claim.
    • Calling an empirical generalisation necessary because it has always held; correction: constant conjunction so far leaves open a possible counter-instance, so it remains contingent.
    • Confusing contingent with false; correction: a contingent claim can be true, it simply might have been otherwise.
    • Judging a set inconsistent because one member is actually false; correction: consistency concerns joint possibility, not actual truth.
    • Confusing consistency with validity; correction: validity concerns whether a conclusion follows from premises, consistency concerns whether premises can all be true together.
    • Treating a single proposition as consistent or inconsistent in isolation; correction: the term applies to sets of propositions.
    • Treating 'objective' as meaning 'true' and 'subjective' as meaning 'false'. Correction: the terms classify the kind of claim, not its truth value; an objective claim may be false.
    • Assuming a confidently asserted opinion is objective because the speaker is certain. Correction: certainty is a psychological feature; objectivity concerns independence from attitudes.
    • Classifying 'I believe murder is wrong' as straightforwardly an objective moral claim. Correction: it reports a belief, so its form is subjective, even though the embedded judgement's status is disputed.
    • Calling any obviously true statement a tautology. Correction: a tautology cannot be false in any possible situation; an obvious empirical truth could still have been false.
    • Confusing a tautology with mere repetition of a word. Correction: tautology concerns truth by form or meaning, not verbal redundancy.
    • Treating 'grass is green' as tautological because it is widely accepted. Correction: it is contingent, since we can coherently conceive of grass not being green.
    • Treating any difficult decision as a dilemma: correction — a dilemma requires at least two options, each with an unwelcome consequence.
    • Confusing a dilemma with a paradox: correction — a paradox is an apparently self-contradictory result, whereas a dilemma concerns competing costs of choice.
    • Assuming a dilemma is always unresolvable: correction — some dilemmas can be resolved by weighing the competing costs, even if a cost remains.
    • Ignoring whether the options are exhaustive: correction — a genuine dilemma should be checked for whether any third option exists.
    • Calling any surprising claim a paradox: correction — a paradox requires apparently acceptable premises and reasoning leading to an absurd conclusion.
    • Confusing a paradox with a plain contradiction: correction — a contradiction is two incompatible claims, whereas a paradox is a puzzling result generated by apparently sound reasoning.
    • Confusing a paradox with a dilemma: correction — a dilemma concerns competing costs of choice, not apparent self-contradiction.
    • Assuming a paradox proves the premises false: correction — the resolution may lie in an ambiguity, an invalid step or a conceptual tension.
    • Treating strong inductive evidence as a proof; correct by noting induction gives probability, not entailment.
    • Confusing validity with truth of the conclusion; correct by separating form (validity) from the actual truth of premises and conclusion.
    • Assuming a proof establishes a conclusion absolutely; correct by stressing proof is relative to the accepted premises.
    • Equating truth with widespread belief: correction is that truth concerns how things are, not how many people accept a claim.
    • Confusing truth with validity: correction is that validity is a property of arguments, while truth is a property of propositions.
    • Treating a well-justified claim as automatically true: correction is that justification can be defeated, so truth and justification are distinct.
    • Judging a statement by personal intuition rather than the relevant definition: correction is to test the claim against the specified concept or argument.
    • Treating any stated opinion as already justified: correction is that justification requires separate supporting reasons, not just confidence.
    • Confusing an explanation of why a belief is held with a justification of that belief: correction is that causal accounts do not establish truth.
    • Assuming all justification must be deductive: correction is that inductive support can justify a conclusion probabilistically.