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The relationship between aprioricity, necessity and analyticity is not easy to discern. Most philosophers at least seem to agree that while the various distinctions may overlap, the notions are clearly not identical: the a priori / a posteriori distinction is epistemological ; the analytic/synthetic distinction is linguistic ; and the necessary ...
In his philosophy, Hegel ventured to describe quite a few cases of "unity of opposites", including the concepts of Finite and Infinite, Force and Matter, Identity and Difference, Positive and Negative, Form and Content, Chance and Necessity, Cause and effect, Freedom and Necessity, Subjectivity and Objectivity, Means and Ends, Subject and ...
In propositional logic, affirming the consequent (also known as converse error, fallacy of the converse, or confusion of necessity and sufficiency) is a formal fallacy (or an invalid form of argument) that is committed when, in the context of an indicative conditional statement, it is stated that because the consequent is true, therefore the ...
Contingency is one of three basic modes alongside necessity and possibility. In modal logic, a contingent statement stands in the modal realm between what is necessary and what is impossible, never crossing into the territory of either status. Contingent and necessary statements form the complete set of possible statements.
Because c) presumes b) will always be the case, it is a fallacy of necessity. John, of course, is always free to stop being a bachelor, simply by getting married; if he does so, b) is no longer true and thus not subject to the tautology a). In this case, c) has unwarranted necessity by assuming, incorrectly, that John cannot stop being a bachelor.
[5] [clarification needed] The unsolvable paradox – a situation in which we have either contradiction (virodha) or infinite regress (anavasthā) – arises, in case of the liar and other paradoxes such as the unsignifiability paradox (Bhartrhari's paradox), when abstraction is made from this function (vyāpāra) and its extension in time, by ...
In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement : "If P then Q ", Q is necessary for P , because the truth of Q is guaranteed by the truth of P .
If instead of adding a stipulation of necessity, the argument just concluded that Mickey Mouse is 35 or older, it would be valid. Norman Swartz gave the following example of how the modal fallacy can lead one to conclude that the future is already set, regardless of one's decisions; this is based on the "sea battle" example used by Aristotle to ...