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" But despite their remoteness from sense experience, we do have something like a perception also of the objects of set theory, as is seen from the fact that the axioms force themselves upon us as being true. I don't see any reason why we should have less... "
A Logical Journey: From Gödel to Philosophy - Pagina 226
door Hao Wang - 1997 - 408 pagina’s
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Philosophy of Mathematics: Selected Readings

Paul Benacerraf, Hilary Putnam - 1983 - 600 pagina’s
...comment is in order on Godel's view of mathematical intuition, particularly since he explicitly says, "We do have something like a perception also of the objects of set theory" (1964: 270) [483-4 in this volume]. This seems to commit Godel to intuition de re. His immediately...
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The Nature of Mathematical Knowledge

San Diego Philip Kitcher Professor of Philosophy University of California - 1983 - 300 pagina’s
...statement of the position at which we have arrived can be found in a celebrated passage by Kurt Godei. But, despite their remoteness from sense experience,...should have less confidence in this kind of perception, ie in mathematical intuition, than in sense perception, which induces us to build up physical theories...
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Frege in Perspective

Joan Weiner, Professor of Philosophy Joan Weiner - 1990 - 307 pagina’s
...looks to be a direct response to this worry. In "What Is Cantor's Continuum Problem?" Godei says that despite their remoteness from sense experience, we...should have less confidence in this kind of perception, ie, in mathematical intuition, than in sense perception. 8 That is, to the question "What provides...
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Mathematical Intuition: Phenomenology and Mathematical Knowledge

R.L. Tieszen - 1989 - 210 pagina’s
...their indirect connection with physical experience is very loose...". In a much quoted passage he says But despite their remoteness from sense experience,...should have less confidence in this kind of perception, ie, in mathematical intuition, than in sense perception, which induces us to build up physical theories...
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Physicalism in Mathematics

A.D. Irvine - 1989 - 366 pagina’s
...Physicalism in Mathematics, 95-120. © 1990 by Kluwer Academic Publishers. And in the same vein: ... despite their remoteness from sense experience, we...should have less confidence in this kind of perception, ie, in mathematical intuition, than in sense perception.. . 4 In making their position clear, platonists...
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The Laboratory of the Mind: Thought Experiments in the Natural Sciences

James Robert Brown - 1993 - 175 pagina’s
...are necessary for a satisfactory theory of our sense perceptions (1944, 456f.) And in the same vein: despite their remoteness from sense experience, we...being true. I don't see any reason why we should have any less confidence in this kind of perception, ie, in mathematical intuition, than in sense perception....
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Cybernetics and Applied Systems

Constantin Virgil Negoita - 1992 - 376 pagina’s
...167). And Kurt Gödel seriously believes that”... we do have something like a perception also of objects of set theory, as is seen from the fact that...should have less confidence in this kind of perception, ie, in mathematical intuition, than in sense perception. .. . They, too, may represent an aspect of...
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On Social Facts

Margaret Gilbert - 1992 - 521 pagina’s
...Godel as a distinguished proponent of the view that abstract objects are perceived. (Godel writes: 'we do have something like a perception also of the objects of set theory', 1964, pp. 271-2.) 64 I waive questions about the phenomenon of 'blindsight' here. The implications...
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Carl Gustav Jung: Critical Assessments

Renos Papadopoulos - 1992 - 1750 pagina’s
...mathematical garb. GOdel himself cast his fate with intuition in this statement (Davis and Hersh 1981: 319): Despite their remoteness from sense experience, we do have something like a perception of the objects of set theory, as is seen from the fact that the axioms force themselves upon us as...
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Gewissheit als Norm: Wittgensteins erkenntnistheoretische Untersuchungen in ...

Michael Kober - 1993 - 429 pagina’s
...nicht anführen 3 - wie etwa Gödels platonistische Versicherung hinsichtlich der Mengenlehre zeigt: "But, despite their remoteness from sense experience,...should have less confidence in this kind of perception, ie, in mathematical intuition, than in sense perception [...]." 4 Es gibt freilich ein Argument gegen...
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