Gregory Landini
Biographic Data
| ID | 461568 |
|---|---|
| NAME | Gregory Landini |
| GIVEN NAMES | Gregory |
| FAMILY NAME | Landini |
| SIGNATURE | LANDINI G |
| AFFILIATIONS | University of Iowa |
| VERIFIED | No |
| TOTAL WORKS | 11 |
| TOTAL CITATIONS | 1 |
| AUTHOR COUNT | 10 |
| EDITOR COUNT | 1 |
| FIRST PUBLICATION YEAR | 1998 |
| LATEST PUBLICATION YEAR | 2022 |
| H-INDEX | 1 |
Stipulations Missing Axioms in Frege's Grundgesetze der Arithmetik
Frege's Grundgesetze der Arithmetik offers a conception of cpLogic as the study of functions. Among functions are included those that are concepts, i.e. characteristic functions whose values are the logical objects that are the True/the False. What, in Frege's view, are the objects the True/the False? Frege's stroke functions are themselves concepts. His stipulation introducing his negation stroke mentions that it yieldsBut curiously no accommoda…
The Philosophy of Logical Atomism: A Centenary Reappraisal
Logic as a Universal Science: Russell's Early Logicism and Its Philosophical Context
Russell espouses logicism in The Principles of Mathematics (1903) and in Principia Mathematica (1910–3), but his conception of logic and his logicism remain controversial. Korhonen offers (p. 7) a new interpretation of Russell's Principles that presents logic as a universal a priori science of propositions. The evolution of Russell's views is outside the expressed scope of the study (p. 15), although ch. 5 outlines some developments in Principia.…
Frege's notations: What They Are and How They Mean
Wittgenstein's Notes on Logic - Michael Potter: Book Reviews
Wittgenstein's ideas concerning logic before the First World War eventually found their way to being dictated and written down in parts and at various times. There are four manuscripts together with a Summary which constitute his Notes on Logic. Potter's book offers an engaging discussion of the origins of the Notes, their composition and content, their use in Wittgenstein's Prototractatus, and their significance for understanding Wittgenstein's …
Wittgenstein's Apprenticeship with Russell
Wittgenstein's Tractatus has generated many interpretations since its publication in 1921, but over the years a consensus has developed concerning its criticisms of Russell's philosophy. In Wittgenstein's Apprenticeship with Russell, Gregory Landini draws extensively from his work on Russell's unpublished manuscripts to show that the consensus characterises Russell with positions he did not hold. Using a careful analysis of Wittgenstein's writing…
Wittgenstein's Apprenticeship With Russell
Russell's Hidden Substitutional Theory
Russell’s Hidden Substitutional Theory
This book explores an important central thread that unifies Russell’s thoughts on logic in two works previously considered at odds with each other, the Principles of Mathematics and the later Principia Mathematica. This thread is Russell’s doctrine that logic is an absolutely general science and that any calculus for it must embrace wholly unrestricted variables. The heart of Landini’s book is a careful analysis of Russell’s largely unpublished “…
Russell's hidden substitutional theory
In The Principles of Mathematics, Bertrand Russell set forth his logicist thesis that the concepts of non-applied mathematics are those of pure logic. In this revisionist interpretation. Gregory Landini explores an important central thread that unifies Russell's thoughts on logic in the two works. The heart of Landini's book is a careful presentation and exploration of Russell's largely unpublished "substitutional" theory of propositions.
Les Paradoxes De La Logique
As we saw in Part II, the substitutional theory parallels the so-called “simple theory of types” of attributes (“propositional functions in an ontological sense”). As in the simple theory, cardinal numbers repeat on each type level. But the reduplication of arithmetic within the types--a zero, one, and so on, on each type level---is now wholly unobjectionable. It is an entirely natural consequence of the proxy--that is, the non-assumption that ev…
Russell’s Hidden Substitutional Theory
This book explores an important central thread that unifies Russell’s thoughts on logic in two works previously considered at odds with each other, the Principles of Mathematics and the later Principia Mathematica. This thread is Russell’s doctrine that logic is an absolutely general science and that any calculus for it must embrace wholly unrestricted variables. The heart of Landini’s book is a careful analysis of Russell’s largely unpublished “…
Russell's hidden substitutional theory
In The Principles of Mathematics, Bertrand Russell set forth his logicist thesis that the concepts of non-applied mathematics are those of pure logic. In this revisionist interpretation. Gregory Landini explores an important central thread that unifies Russell's thoughts on logic in the two works. The heart of Landini's book is a careful presentation and exploration of Russell's largely unpublished "substitutional" theory of propositions.
Les Paradoxes De La Logique
As we saw in Part II, the substitutional theory parallels the so-called “simple theory of types” of attributes (“propositional functions in an ontological sense”). As in the simple theory, cardinal numbers repeat on each type level. But the reduplication of arithmetic within the types--a zero, one, and so on, on each type level---is now wholly unobjectionable. It is an entirely natural consequence of the proxy--that is, the non-assumption that ev…
Russell's Hidden Substitutional Theory
Wittgenstein's Apprenticeship with Russell
Wittgenstein's Tractatus has generated many interpretations since its publication in 1921, but over the years a consensus has developed concerning its criticisms of Russell's philosophy. In Wittgenstein's Apprenticeship with Russell, Gregory Landini draws extensively from his work on Russell's unpublished manuscripts to show that the consensus characterises Russell with positions he did not hold. Using a careful analysis of Wittgenstein's writing…
Wittgenstein's Apprenticeship With Russell
Wittgenstein's Notes on Logic - Michael Potter: Book Reviews
Wittgenstein's ideas concerning logic before the First World War eventually found their way to being dictated and written down in parts and at various times. There are four manuscripts together with a Summary which constitute his Notes on Logic. Potter's book offers an engaging discussion of the origins of the Notes, their composition and content, their use in Wittgenstein's Prototractatus, and their significance for understanding Wittgenstein's …
Frege's notations: What They Are and How They Mean
Logic as a Universal Science: Russell's Early Logicism and Its Philosophical Context
Russell espouses logicism in The Principles of Mathematics (1903) and in Principia Mathematica (1910–3), but his conception of logic and his logicism remain controversial. Korhonen offers (p. 7) a new interpretation of Russell's Principles that presents logic as a universal a priori science of propositions. The evolution of Russell's views is outside the expressed scope of the study (p. 15), although ch. 5 outlines some developments in Principia.…
The Philosophy of Logical Atomism: A Centenary Reappraisal
Stipulations Missing Axioms in Frege's Grundgesetze der Arithmetik
Frege's Grundgesetze der Arithmetik offers a conception of cpLogic as the study of functions. Among functions are included those that are concepts, i.e. characteristic functions whose values are the logical objects that are the True/the False. What, in Frege's view, are the objects the True/the False? Frege's stroke functions are themselves concepts. His stipulation introducing his negation stroke mentions that it yieldsBut curiously no accommoda…
Epistemology (8 works) · Philosophy (8 works) · Philosophy and Theoretical Science (6 works) · Linguistics (4 works) · Mathematics (4 works) · Mathematical economics (3 works) · Philosophy (3 works) · Philosophy, Science, and History (3 works) · Wittgensteinian philosophy and applications (3 works) · Aesthetics (2 works)