Vuillemin: The Excluded Middle

Zitat

„Epicurus rejects the truth, and therefore the necessity, of the disjunction itself. What Epicurus denies is therefore not the determinate character of the truth-values of the disjunction’s components, but the truth of that very disjunction. His criticism is directed not to the principle of bivalence but to the principle of the excluded middle. Naturally, a challenge to this latter is a challenge to the former, for then the excluded middle is neither true nor false.“ (p. 170) #Vuillemin #Epicurus #truth #ExcludedMiddle

Bourbaki: Mathematics and Truth

Zitat

„Mathematicians have always been convinced that what they prove is ‚true‘. It is clear that such a conviction can be only of a sentimental or metaphysical order, and cannot be justified, or even ascribed a meaning which is not tautological, within the domain of mathematics. The history of the concept of truth in mathematics therefore belongs to the history of philosophy and not of mathematics; but the evolution of this concept has had an undeniable influence on the development of mathematics, and for this reason we cannot pass over it in silence.“ (p. 306f.) #Bourbaki #mathematics #truth

James: Truth

Zitat

„We live in a world of realities that can be infinitely useful or infinitely harmful. Ideas that tell us which of them to expect count as the true ideas in all this primary sphere of verification, and the pursuit of such ideas is a primary human duty. The possession of truth, so far from being here an end in itself, is only a preliminary means towards other vital satisfactions.“ (p. 170) #James #truth

James: Truth

Zitat

„Truth lives, in fact, for the most part on a credit system. Our thoughts and beliefs ‚pass,‘ so long as nothing challenges them, just as bank-notes pass so long as nobody refuses them. But this all points to direct face-to-face verifications somewhere, without which the fabric of truth collapses like a financial system with no cash- basis whatever.“ (p. 174) #James #truth