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    Euclidean geometry consists of synthetic a priori statements — Carmelics
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    Supports→Euclidean geometry possesses certainty and necessity

    Euclidean geometry consists of synthetic a priori statements

    Modality & PossibilityTruth & Knowledge
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    Euclidean geometry possesses certainty and necessityKnowledge that is both non-tautological and independent of experience can still ...Synthetic a priori knowledge does not rely on experience and is therefore necess...

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    Euclidean geometry provides one kind of knowledge (a priori).86%The demarcation between the a priori and the a posteriori in geometry ...80%Arithmetic and geometry are deductive sciences whose axioms are analyt...80%The synthetic a priori laws of pure natural science are themselves 'de...79%

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    In Kant’s Critique of Pure Reason (1781/1787) (see the entry Kant’s views on space and time) the situation is more complicated or sophisticated. Kant introduced the notion of a priori knowledge in contrast to a posteriori, and synthetic knowledge in contrast to analytical knowledge to allow for the existence of knowledge that did not rely on experience (and was thus a priori) but was not tautological in character (and therefore synthetic and not analytic). The contentious class of synthetic a

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