“By virtue of the universal concept, thought attains mastery over the particular cases. However, the most formalized universe of logic still refers to the most general structure of the given, experienced world; the pure form is still that of the content which it formalizes. The idea of formal logic itself is a historical event in the development of the mental and physical instruments for universal control and calculability. In this undertaking man had to create theoretical harmony out of actual discord, to purge thought from contradictions, to hypostatize identifiable and fungible units in the complex process of society and nature. Under the rule of formal logic, the notion of the conflict between essence and appearance is expendable if not meaningless; the material content is neutralized; the principle of identity is separated from the principle of contradiction (contradictions are the fault of incorrect thinking); final causes are removed from the logical order. Well defined in their scope and function, concepts become instruments of prediction and control. Formal logic is thus the first step on the long road to scientific thought”

— Herbert Marcuse , book One-Dimensional Man

Source: One-Dimensional Man (1964), p. 137

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Herbert Marcuse 105

German philosopher, sociologist, and political theorist 1898–1979

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“In [Aristotle’s] formal logic, thought is organized in a manner very different from that of the Platonic dialogue. In this formal logic, thought is indifferent toward its objects. Whether they are mental or physical, whether they pertain to society or to nature, they become subject to the same general laws of organization, calculation, and conclusion — but they do so as fungible signs or symbols, in abstraction from their particular “substance.” This general quality (quantitative quality) is the precondition of law and order — in logic as well as in society — the price of universal control.”

Herbert Marcuse book One-Dimensional Man

Source: One-Dimensional Man (1964), p. 136

“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)

“Dialectical logic undoes the abstractions of formal logic and of transcendental philosophy, but it also denies the concreteness of immediate experience. To the extent to which this experience comes to rest with the things as they appear and happen to be, it is a limited and even false experience. It attains its truth if it has freed itself from the deceptive objectivity which conceals the factors behind the facts — that is, if it understands its world as a historical universe, in which the established facts are the work of the historical practice of man.”

Herbert Marcuse book One-Dimensional Man

Source: One-Dimensional Man (1964), p. 141

“The subject of a science is never well circumscribed and there is little use sharpening its definition. However, nobody will deny that physics deals with nature and sociology with human society in some of their aspects. With logic, it is another matter. Logic is usually understood nowadays as a study of certain formal systems, though in former times there were philosophers who held that the subject matter of logic was the formal rules of human thought. In the latter sense it would be an empirical rather than a formal science, though its empirical subject matter would still be fundamentally different from that of psychology of thinking. One interpretation of logic does not exclude the other. Formal approaches are often easier than empirical ones, and for this reason one can understand why logic as a study of formal systems has till now made more progress than logic as a study of the formal rules of thought, even if restricted to scientific thought.”

Hans Freudenthal (1905–1990) Dutch mathematician

Source: Realistic models in probability (1968), p. 1

“Not only the tools of manual labour, but also the tools of human thought — words — are subject to the laws of historical development. The history of the meanings of words is outside the area of interest of formal logic, and could not be fruitfully studied by the methods of that discipline.
The history of language in what is its most essential content is the history of language as a social instrument of thought; it is historical epistemology which cannot be studied within the scope of any other discipline.
The linguist is of necessity only marginally interested in all conventional terminology, whereas certain votaries of formal logic are inclined to investigate domains which are alien to linguistics and even to some extent in contradiction to its basic assumptions!”

Witold Doroszewski (1899–1976) Lexicographer and linguist

As cited in Schaff (1962;7).
"Comments on Semantics", 1952

“The methods of logical procedure are very different in ancient and modem logic, but behind all difference is the construction of a universally valid order of thought, neutral with respect to material content. Long before technological man and technological nature emerged as the objects of rational control and calculation, the mind was made susceptible to abstract generalization. Terms which could be organized into a coherent logical system, free from contradiction or with manageable contradiction, were separated from those which could not. Distinction was made between the universal, calculable, “objective” and the particular, incalculable, subjective dimension of thought.”

Herbert Marcuse book One-Dimensional Man

Source: One-Dimensional Man (1964), pp. 137-138

“Every Individual can and must, under the given condition, construct the True World of Sense, — for this indeed has beyond the universal and formal laws above deduced, no other Truth and Reality than this universal harmony.”

Johann Gottlieb Fichte (1762–1814) German philosopher

XI.
Outline of the Doctrine of Knowledge (1810)
Context: There is but One Principle that proceeds from God; and thus, in consequence of the unity of the Power, it is possible for each Individual to schematise his World of Sense in accordance with the law of that original harmony; — and every Individual, under the condition of being found on the way towards the recognition of the Imperative, must so schematise it. I might say: — Every Individual can and must, under the given condition, construct the True World of Sense, — for this indeed has beyond the universal and formal laws above deduced, no other Truth and Reality than this universal harmony.

“Old answers never perfectly suit new questions, except in the most formal, logical circumstances.”

Marvin Minsky (1927–2016) American cognitive scientist

K-Linesː A Theory of Memory (1980)

“Formal logic and the logical syllogism encapsulate connectedness in reasoning.”

Marshall McLuhan (1911–1980) Canadian educator, philosopher, and scholar-- a professor of English literature, a literary critic, and a …

1980s, Laws of Media: The New Science (with Eric McLuhan) (1988)

“By the logical syntax of a language, we mean the formal theory of the linguistic forms of that language -- the systematic statement of the formal rules which govern it together with the development of the consequences which follow from these rules. A theory, a rule, a definition, or the like is to be called formal when no reference is made in it either to the meaning of the symbols (for examples, the words) or to the sense of the expressions (e. g. the sentences), but simply and solely to the kinds and order of the symbols from which the expressions are constructed.”

Rudolf Carnap (1891–1970) German philosopher

Source: Logical Syntax of Language, 1934/1937, p. 1

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Herbert Marcuse 105

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