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Category Archives: Foundations of Mathematics
Infinite Uses → Finite Means
The idea that a language is based on a system of rules determining the interpretation of its infinitely many sentences is by no means novel. Well over a century ago, it was expressed with reasonable clarity by Wilhelm von Humboldt … Continue reading
Posted in Chomsky, Finite Means, Formal Language Theory, Formal Languages, Foundations of Mathematics, Generative Grammar, Infinite Use, Linguistics, Pigeonhole Principle, Recursion, Syntax, Wilhelm von Humboldt
Tagged Chomsky, Finite Means, Formal Language Theory, Formal Languages, Foundations of Mathematics, Generative Grammar, Infinite Use, Linguistics, Pigeonhole Principle, Recursion, Syntax, Wilhelm von Humboldt
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C.S. Peirce • Logic of Number (MS 229)
Selections from C.S. Peirce, [Logic of Number] (MS 229) I printed a paper on the Logic of Number in 1866, and it was not made up out of the first thoughts that came into my head about it, by any … Continue reading
Posted in Abduction, Deduction, Foundations of Mathematics, Logic, Mathematics, Peirce, Science, Semiotics
Tagged Abduction, Deduction, Foundations of Mathematics, Logic, Mathematics, Peirce, Science, Semiotics
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Reading C.S. Peirce • New Elements (Καινὰ Στοιχεῖα) : 1
Re: Editors’ Headnote from The Essential Peirce, Volume 2 Gmane Archive Threads — New Elements (Kaina Stoicheia) • EP Editors’ Headnote New Elements (Kaina Stoicheia) • EP Editors’ Headnote • Commentary Peirce List, Interest in the reading of Peirce’s “New … Continue reading
Posted in Foundations of Mathematics, Logic, Mathematics, Peirce, Semiotics
Tagged Foundations of Mathematics, Logic, Mathematics, Peirce, Semiotics
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C.S. Peirce • New Elements (Καινὰ Στοιχεῖα) : 1
Selections from C.S. Peirce, “New Elements (Καινὰ Στοιχεῖα)” Editors’ Headnote from The Essential Peirce, Volume 2 MS 517. [First published in NEM 4:235–63. This document was most probably written in early 1904, as a preface to an intended book on … Continue reading
Posted in Foundations of Mathematics, Logic, Mathematics, Peirce, Semiotics
Tagged Foundations of Mathematics, Logic, Mathematics, Peirce, Semiotics
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Notes on the Foundations of Mathematics : 2
Selections from R.L. Wilder, Introduction to the Foundations of Mathematics I. The Axiomatic Method Since the axiomatic method as it is now understood and practiced by mathematicians is the result of a long evolution in human thought, we shall … Continue reading
Posted in Foundations of Mathematics, Logic, Mathematics, References, Sources
Tagged Foundations of Mathematics, Logic, Mathematics, References, Sources
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Notes on the Foundations of Mathematics : 1
Peircers, I will have to be off and on the internet for the next month or so, and won’t be able to keep up with the formal activities on the list. But I have been thinking a lot about the … Continue reading
Posted in Foundations of Mathematics, Logic, Mathematics, Peirce, References, Semiotics, Sources
Tagged Foundations of Mathematics, Logic, Mathematics, Peirce, References, Semiotics, Sources
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