The Mathematical Philosophy of Bertrand Russell: Origins and Development
Editat de Francisco Rodríguez-Consuegraen Limba Engleză Paperback – 10 mai 2012
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Specificații
ISBN-13: 9783034875356
ISBN-10: 3034875355
Pagini: 252
Ilustrații: XIV, 236 p.
Dimensiuni: 170 x 244 x 13 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Birkhäuser Basel
Colecția Birkhäuser
Locul publicării:Basel, Switzerland
ISBN-10: 3034875355
Pagini: 252
Ilustrații: XIV, 236 p.
Dimensiuni: 170 x 244 x 13 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Birkhäuser Basel
Colecția Birkhäuser
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
1. Methodological and logicist background.- 1.1. Boole and Peirce.- 1.2. Dedekind and Cantor.- 1.3. Couturat and Whitehead.- 1.4. Bradley and Moore.- 1.5. Foundations of geometry.- 2. The unpublished mathematical philosophy: 1898-1900.- 2.1. The genesis of the 1898-1900 manuscripts.- 2.2. Logic, mathematics and ontology.- 2.3. The evolution of the main concepts.- 2.4. Concepts, axioms, presupposition and implication.- 2.5. The contradiction and the infinite.- 2.6. Relations and the ‘principle of abstraction’.- 2.7. The method of definition.- 2.8. The gradual approach to Cantor.- 3. The contribution of Peano and his school.- 3.1. Logic.- 3.2. Arithmetic.- 3.3. Geometry.- 3.4. The method.- 3.5. Peano’s followers and their contributions.- 4. The principles of mathematics.- 4.1. The reaction to the Congress of 1900.- 4.2. Logic.- 4.3. Arithmetic.- 4.4. Geometry.- 4.5. What Russell learned from Peano.- 5. Philosophical and methodological problems.- 5.1. Origin and evolution of Russell’s logicism.- 5.2. The principle of abstraction.- 5.3. The constructive definition.- 5.4. Relational logic and ontology.- B.1. Works by Russell.- B. 1.1. Unpublished manuscripts 224.- B. 1.2. Published or unpublished correspondence 225.- B. 1.3. Published works 225.- B.2. Works by other authors.