By Richard Gaskin
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.
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Extra info for Grammar in Early Twentieth-Century Philosophy (Part I)
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