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  1. www.goodreads.com › book › showPhilosophy of Arithmetic: Psychological and Logical Inv…

    30. Sept. 2003 · A quintessential 19th century work of philosophy of mathematics, focusing on two sides of mathematics: authentic representations, understood as the conceptualization that underlies mathematical concepts, and symbolic representations, the way of representing mathematics with signs that correctly capture the authentic representation without forcing us to check it against the authentic ...

  2. plato.stanford.edu › entries › frege-theoremFrege’s Theorem and Foundations for Arithmetic

    10. Juni 1998 · Given that the proof of Frege’s Theorem makes no appeal to Basic Law V, some philosophers have argued Frege’s best strategy for producing an epistemologically-justified foundation for arithmetic is to replace the primitive term \(\epsilon F\) with the primitive term \(\#F\), replace Basic Law V with Hume’s Principle, and argue that Hume’s Principle is an analytic principle of logic.

  3. academic.oup.com › book › 12820Introduction | Reason's Nearest Kin: Philosophies of Arithmetic...

    This distinction is common ground among the authors we shall be discussing and goes back at least to Plato, who called the two parts ‘arithmetic of the academics’ and ‘arithmetic of the vulgar’. 8 It is quite hard to define what the distinction amounts to generally, but easy to draw it in practice: the proposition that 2 + 2 = 4, for example, belongs to arithmetic proper, whereas the ...

  4. www.cambridge.org › core › books15 - The Philosophy of Arithmetic: Frege and Husserl

    14. Juli 2009 · Phenomenology, Logic, and the Philosophy of Mathematics - June 2005 Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

  5. www.cambridge.org › elements › the-philosophy-of-mathematicsCambridge Elements in the Philosophy of Mathematics

    This Cambridge Elements series provides an extensive overview of the philosophy of mathematics in its many and varied forms. Distinguished authors will provide an up-to-date summary of the results of current research in their fields and give their own take on what they believe are the most significant debates influencing research, drawing ...

  6. www.amazon.com › Philosophy-Arithmetic-PsychologicalPhilosophy of Arithmetic: Psychological and Logical...

    30. Sept. 2003 · Philosophy of Arithmetic: Psychological and Logical Investigations with Supplementary Texts from 1887–1901 (Husserliana: Edmund Husserl – Collected Works, 10) [Husserl, Edmund, Willard, Dallas] on Amazon.com. *FREE* shipping on qualifying offers.

    • Edmund Husserl