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Frege: Philosophy of Mathematics.
No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial "Frege: Philosophy of Language" is a sustained, systematic analysis ofExpand
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Nonconceptual Content and the “Space of Reasons”
In The Varieties of Reference, Gareth Evans (1982) argues that the content of perceptual experience is non-conceptual, in a sense I shall explain momentarily.1 More recently, in his book Mind andExpand
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Are there different kinds of content
The cup from which I am drinking water now is yellow, and I know that it is. Why does my belief that the cup is yellow count as knowledge? Presumably, the answer must involve some reference to myExpand
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The Development of Arithmetic in Frege's Grundgesetze der Arithmetik
TLDR
Frege's development of the theory of arithmetic in his Grundgesetze der Arithmetik has long been ignored, since the formal theory is inconsistent. Expand
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Self-reference and the languages of arithmetic
I here investigate the sense in which diagonalization allows one to construct sentences that are self-referential. Truly self-referential sentences cannot be constructed in the standard language ofExpand
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Finitude and Hume’s Principle
TLDR
The paper formulates and proves a strengthening of ‘Frege’s Theorem’, which states that axioms for second-order arithmetic are derivable in second- order logic from Hume's Principle, so that nothing is claimed about the circumstances under which infinite concepts have the same number. Expand
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Frege's Theorem
Preface Editorial Notes 1. Frege's Theorem: An Overview 2. The Development of Arithmetic 3. Die Grundlagen der Arithmetik 82-83 4. Frege's Principle 5. Julius Caesar and Basic Law V 6. The JuliusExpand
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Do Demonstratives Have Senses
Fregean views of referring expressions— according to which such expressions have, not only reference, but also sense— have been subjected to intense criticism over the last few decades. Frege’s viewExpand
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Cardinality, Counting, and Equinumerosity
  • Richard G. Heck
  • Computer Science, Mathematics
  • Notre Dame J. Formal Log.
  • 20 July 2000
TLDR
Frege, famously, held that there is a close connection between our concept of cardinal number and the notion of one-one correspondence, a connection enshrined in Hume’s Principle. Expand
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The consistency of predicative fragments of Frege's Grundgesetze der Arithmetik
Reading ‘x(Fx)’ as ‘the value-range of the concept F ’, Basic Law V thus states that, for every F and G, the value-range of the concept F is the same as the value-range of the concept G just in caseExpand
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