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Showing posts with the label synthetic propositions

A self evident truth

"Whatever was born, must die." That sounds like a self-evident truth to me, heartless though it might be to illustrate it with a photo of cute newborn puppies. Let's call our above statement T. Let's also observe at once that in contrast to many of the propositions that are bruited about as self-evident truths, it can't plausibly be considered a tautology. T, above, is very different from, say, "a triangle has three lines." The latter can be understood as meaning, "that which we call a 'triangle' has three lines" so the question of a possible exception doesn't arise. T doesn't read like "that which we say has been 'born' must die." I make a ponderous point of this because the synthetic/analytic distinction has come under heavy criticism in philosophical circles for decades now. If I recall correctly, Quine -- who is number 1 on the list I posted here yesterday -- made his reputation with an essay on...

Hume's Fork

One of the passages in the writings of David Hume that sets out what is known as "Hume's fork" runs this way: All the objects of human reason or enquiry may naturally be divided into two kinds, to wit, relations of ideas, and matters of fact. Of the first kind are the sciences of geometry, algebra, and arithmetic, and in short, every affirmation which is either intuitively or demonstratively certain. That the square of the hypotenuse is equal to the square of the two sides, is a proposition which expresses a relation between these figures. That three times five is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the mere operation of thought, without dependence on what is anywhere existent in the universe. Though there never were a circle or triangle in nature, the truths demonstrated by Euclid would for ever retain their certainty and evidence. Matters of fact, which are the second objects of hum...