Gottlob Frege: Frege's philosophy of mathematics, Volume 3Michael Beaney, Erich H. Reck This collection brings together recent scholarship on Frege, including new translations of German material which is made available to Anglophone scholars for the first time. |
Contents
PART | 8 |
the royal road from geometry | 15 |
Frege and the rigorization of analysis | 50 |
on the concept of number | 115 |
a context for Freges context principle | 157 |
A theory of complex numbers in the spirit of Grundgesetze | 179 |
The significance of complex numbers for Freges philosophy | 198 |
Truthvalues and coursesofvalue in Freges Grundgesetze | 218 |
The philosophical basis of our knowledge of number | 245 |
motivations and modifications | 270 |
PART 10 | 303 |
The development of arithmetic in Freges Grundgesetze | 323 |
On the philosophical significance of Freges theorem | 349 |
some reflections | 387 |
Other editions - View all
Gottlob Frege: Critical Assessments of Leading Philosophers, Volume 3 Erich H. Reck No preview available - 2005 |
Common terms and phrases
algebra analysis analytic ancestral applications argument arithmetic Arithmetik axioms Basic Law Begriffsschrift Benacerraf Boolos Cantor cardinal numbers claim complex numbers concept F concept of number concept-objects concerned consistent construction context principle contextual definition corresponding courses-of-value Dedekind defined Demopoulos derivation discussion distinction domain Dummett elements equipollent equivalence classes equivalence relation example expression extensions of concepts fact finite focal passage follows formal Foundations Frege Frege's philosophy Frege's Theorem Frege's views Fregean fruitful function geometry George Boolos Gottlob Frege Grundgesetze Grundlagen Hume's principle idea identity inference infinite infinity introduced intuition logical objects logicist means Michael Dummett natural numbers neo-Fregean notion number of Fs numerical singular terms philosophy of mathematics Poncelet predicate problem properties proposition pure Q-series quantifiers question real numbers reference relation Russell's Russell's paradox second-order logic sense sentence specific Staudt's stipulation structure theory tion truth truth-values University Press value-ranges Wright writes