Philosophical Grammar, Parts 1-2
Wittgenstein wrote this book during 1932-1934 - the period just before he began to dictate the Blue Book. In Part I he discusses the notions of "proposition," "sense," "language," "grammar"; what "saying something" is, what distinguishes signs form random marks or noises. Must we start with "primary" signs which need no explanation? In what sense have we a general concept of proposition or of language? The phrases "family of cases" and "family similarities," which the Investigations use, are here; and comparison brings out what is special in the later development. But although it is close to the Investigations at some points, and to the Philosophische Bemerkungen at others, the Philosophical Grammar is an independent work and discusses much that is not in either of them. It is Wittgenstein's fullest treatment of logic and mathematics in their connection with his later understanding of "proposition," "sign," and "system." In Part II he writes on logical inference and generality - criticizing views of Frege and Russell and earlier views of his own, developing his conception of "law of a series" and of " ... and so on"--Leading to his discussion of mathematics, which fills two fifths of the volume: the ideas of "foundations of mathematics," of cardinal numbers, of mathematical proof, and especially of inductive or recursive proofs (with reference to Skolem), which he treats to a depth and extent beyond anything he said of them elsewhere.
What people are saying - Write a review
We haven't found any reviews in the usual places.
How can one talk about understanding and not under
Infinity in Mathematics 39 Generality in arithmetic
On set theory
The extensional conception of the real numbers
Kinds of irrational number t PF
Irregular infinite decimals
Note in Editing
Other editions - View all
able accordance actually already answer appears apples application arithmetic belongs calculus cardinal numbers certainly chess circle clear colour comes complete concept connection consists construction contains correct corresponds count course defined definition describe determine distinction doesn't drawing equation essential example existence expectation experience explanation expression face fact familiar feel follows further give given grammar hand happens holds imagine induction infinite instance isn't kind language length logical look mathematics matter mean meant method mind move nature object occur particular perhaps picture play position possible problem produce proof proposition proved question reality regard relation replace result rules seems sense sentence similar simply someone speak square stand step Suppose symbolism talk thing thought tion translation true understand wish word write written