“I cannot get from the nature of the proposition to the individual logical operations!!!”

— Ludwig Wittgenstein

Journal entries (12 March 1915 and 15 March 1915) p. 41e
1910s, Notebooks 1914-1916
Context: I cannot get from the nature of the proposition to the individual logical operations!!!
That is, I cannot bring out how far the proposition is the picture of the situation. I am almost inclined to give up all my efforts.

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Ludwig Wittgenstein 228

Austrian-British philosopher 1889–1951

Rudolf Carnap (1891–1970) German philosopher

Source: Carnap’s intellectual biography (1963), p. 62

“A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions”

Anatol Rapoport (1911–2007) Russian-born American mathematical psychologist

Anatol Rapoport. " Various meanings of “theory”." http://www.acsu.buffalo.edu/~fczagare/PSC%20504/Rapoport%20(1958).pdf American Political Science Review 52.04 (1958): 972-988.
1950s

“LOGIC The principle governing human intellection. Its nature may be deduced from examining the following propositions, both of which are held by human beings to be true and often by the same people: “I can’t so you musn’t,” and “I can but you musn’t.””

John Brunner book Stand on Zanzibar

the happening world (15) “Equal and Opposite”
Stand on Zanzibar (1968)

“Sex cannot be understood because nature cannot be understood. Science is a method of logical analysis of nature’s operations. It has lessened human anxiety about the cosmos by demonstrating the materiality of nature’s forces, and their frequent predictability. But science is always playing catch-up ball. Nature breaks its own rules whenever it wants. Science cannot avert a single thunderbolt. Western science is a product of the Apollonian mind: its hope is that by naming and classification, by the cold light of intellect, archaic night can be pushed back and defeated.”

Camille Paglia (1947) American writer

Source: Sexual Personae: Art and Decadence from Nefertiti to Emily Dickinson (1990), p. 5

“Proposition I. Theorem I: When a projectile is carried in motion compounded from equable horizontal and from naturally accelerated downward [motions], it describes a semiparabolic line in its movement.”

Galileo Galilei (1564–1642) Italian mathematician, physicist, philosopher and astronomer

Author, Day Four, Stillman Drake translation (1974) p. 269
Dialogues and Mathematical Demonstrations Concerning Two New Sciences (1638)

“Logic will get you from A to Z; imagination will get you everywhere.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Variant: Logic will get you from A to B. Imagination will take you anywhere.

“The function of logical analysis is to analyse all knowledge, all assertions of science and of everyday life, in order to make clear the sense of each such assertion and the connections between them. One of the principal tasks of the logical analysis of a given proposition is to find out the method of verification for that proposition.”

Rudolf Carnap (1891–1970) German philosopher

Rudolf Carnap (1935) Philosophy and Logical Syntax. p. 9-10

“In a capitalist country foreign trade, like any other trade, is carried on by individual firms, and individual firms cannot be guided in their activities by "global"considerations, by concern with the impact of their operations on the economy as a whole.”

Paul A. Baran (1909–1964) American Marxist economist

Source: The Political Economy Of Growth (1957), Chapter Four, Standstill and Movement Under Monopoly Capitalism, II, p. 110

“To deduce the laws of the symbols of Logic from a consideration of those operations of the mind which are implied in the strict use of language as an instrument of reasoning.”

George Boole (1815–1864) English mathematician, philosopher and logician

Source: 1850s, An Investigation of the Laws of Thought (1854), p. 42

“Pure mathematics is, in its way, the poetry of logical ideas. One seeks the most general ideas of operation which will bring together in simple, logical and unified form the largest possible circle of formal relationships. In this effort toward logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

1930s, Obituary for Emmy Noether (1935)

“I cannot get from the nature of the proposition to the individual logical operations!!!”

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