By Richard Gaskin
ISBN-10: 0415224462
ISBN-13: 9780415224468
During this publication, ten essays study the contributions made to the difficulty of the philosophical value of grammar via Frege, Russell, Bradley, Husserl, Wittgenstein, Carnap and Heidegger.
Read or Download Grammar in Early Twentieth-Century Philosophy (Part I) PDF
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Extra info for Grammar in Early Twentieth-Century Philosophy (Part I)
Example text
However, functions are the same if they yield the same values for the same arguments; and since this agrees with the extensional view we are used to, we can rely on our set-theoretic intuitions as heuristic when these ontological considerations fade into the background. Function and argument Frege (1891) presents his function/argument analysis of arithmetic notation. The numerals (17) '0', '1', '2'8 refer to the numbers (18) 0, 1, 2 respectively. The complex expressions (19) '0 + 1', '1 + 1', '2 + 1' refer to the numbers (20) 1, 2, 3 38 Grammar in Early Twentieth-Century Philosophy Grammar in Early Twentieth-Century Philosophy 39 respectively (just as the numerals '1', '2', '3' do).
We affirm of the number 9 that it has the property being necessarily greater than 7).
Grammar in Early Twentieth-Century Philosophy 35 36 Grammar in Early Twentieth-Century Philosophy Formal mode and material mode Leibniz's Law is a fundamental logical law governing identity and, as we have just seen, admits of no counterexamples. If someone purports to have a case where x has a property y lacks, it is natural to conclude that x is not identical with y. The literature is filled with examples of this type of argumentation for the existence of peculiarly philosophical entities. We cite here two.
Grammar in Early Twentieth-Century Philosophy (Part I) by Richard Gaskin
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