Philosophical Studies Special Issue on Definitions Frege on the Psychological Signiicance of Deenitions

Frege on the Psychological Signiicance of Deenitions

Frege and Russell: Does Science Talk Sense?

Over the course of the nineteenth century mathematicians became vividly aware that great advances in intuitive “understanding” could be obtained if novel definitions were devised for old notions such as “conic section”, for one thereby often gained a deeper appreciation for why old theorems in the subject had to be true (the new definitions were said to have proved “more fruitful” in these rega...

Literature, Logic and the Liberating Word: the Elucidation of Confusion in Henry James

The literary style of henry James has attracted the attention of a number of leading analytic philosophers who are drawn to make claims for the philosophical signiicance of works of literature. Many of these philosophical commentators share a common approach: namely, they locate the philosophical center of gravity of James’s style in a philosophical view that his way of writing is understood to...

Ramified Frege Arithmetic

Frege’s definitions of zero, predecession, and natural number will be explained below. As for second-order Dedekind-Peano arithmetic, the axiomatization most convenient for our purposes is the following: (1) N0 (2) Nx∧Pxy→ Ny (3) ∀x∀y∀z(Nx∧Pxy∧Pxz→ y = z) (4) ∀x∀y∀z(Nx∧Ny∧Pxz∧Pyz→ x = y) (5) ¬∃x(Nx∧Px0) (6) ∀x(Nx→∃y(Pxy)) (7) ∀F(F0∧∀x∀y(Nx∧Fx∧Pxy→ Fy)→∀x(Nx→ Fx) If (slightly non-standardly) we ...

An Analysis of Achievement of the Philosophical Sense of “Extension” in Music, with Interpretaion of Ibn-e Sina’s Explanation an Extension

This research can be considered as one of the studies that seek to explore, in an argumentative way, subtle and solid philosophical concepts in the field of art. The paper provides an analysis of the concept of “extension” in music as one of the most thought-provoking philosophical concepts. The analysis is carried out by interpreting Ibn-Sina’s special conception of musical extension to answer...