“Discontinuity of its linguistic and logical terms is for the conscious analytical intellect psychologically and logically prior to notions of continuity.”

— Lancelot Law Whyte

Essay on Atomism: From Democritus to 1960 (1961)
Context: Discontinuity of its linguistic and logical terms is for the conscious analytical intellect psychologically and logically prior to notions of continuity.... This functional priority... may not have been reflected in the history of the development of reason in all human communities.... But it is relevant for the West that the Pythagoreans, with their discrete integers and point patterns, came before Euclid, with his continuous metrical geometry, and that physical atomism as a speculative philosophy preceded by some two thousand years the conception of a continuous physical medium with properties of its own.<!--pp.13-14

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Lancelot Law Whyte 62

Scottish industrial engineer 1896–1972

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“Not knowing what one is looking for is pure agony. Too much analytical thinking, too much logic, too many meanings! Life has no logic, so why does there have to be logic to explain what it means? Also, what is logic? I think I may need to break away from analytical thinking; this is the cause of all my anxieties.”

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Source: Soul Mountain (1989), ch. 8, p. 50

“Pure Mathematics is the class of all propositions of the form “p implies q,” where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.”

Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist

Principles of Mathematics (1903), Ch. I: Definition of Pure Mathematics, p. 3
1900s

“A frequent source of misunderstanding has to do with the interpretation of fuzzy logic. The problem is that the term fuzzy logic has two different meanings. More specifically, in a narrow sense, fuzzy logic, FLn, is a logical system which may be viewed as an extension and generalization of classical multivalued logics. But in a wider sense, fuzzy logic, FLw is almost synonymous with the theory of fuzzy sets. In this context, what is important to recognize is that: (a) FLw is much broader than FLn and subsumes FLn as one of its branches; (b) the agenda of FLn is very different from the agendas of classical multivalued logics; and (c) at this juncture, the term fuzzy logic is usually used in its wide rather than narrow sense, effectively equating fuzzy logic with FLw</sub”

Lotfi A. Zadeh (1921–2017) Electrical engineer and computer scientist

Zadeh (1995) in Foreword of George J. Klir Fuzzy sets and fuzzy logic: theory and applications.
1990s

“This fact… proves that space measurements are reducible to time measurements. Time is therefore logically prior to space.”

Hans Reichenbach (1891–1953) American philosopher

The Philosophy of Space and Time (1928, tr. 1957)

“Speculative Philosophy is the endeavour to frame a coherent, logical, necessary system of general ideas in terms of which every element of our experience can be interpreted. By this notion of 'interpretation' I mean that everything of which we are conscious, as enjoyed, perceived, willed, or thought, shall have the character of a particular instance of the general scheme.”

Charles Hartshorne (1897–2000) Philosopher

The Logic of Perfection and Other Essays in Neoclassical Metaphysics (1962) p. viii.

“The term fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very fake, etc…. As a consequence, the truth tables and the rules of inference in fuzzy logic are (i) inexact and (ii) dependent on the meaning associated with the primary truth-value true as well as the modifiers very quite.”

George Klir (1932–2016) American computer scientist

Lotfi Asker Zadeh, George Klir, Bo Yuan (1996) Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers. p. 238.

Lotfi A. Zadeh (1921–2017) Electrical engineer and computer scientist

Lotfi Asker Zadeh, George Jiri Klir, Bo Yuan (1996) Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers. p. 238
1990s

“Logos and logic, crystal hypothesis,
Incipit and a form to speak the word
And every latent double in the word,

Beau linguist.”

Wallace Stevens (1879–1955) American poet

Notes Toward a Supreme Fiction (1942), It Must Be Abstract

“Semantics (semasiology) is a branch of linguistics. The questions which are of particular interest in this connection are — with what is that branch of linguistics concerned, and in what does it see the distinction between itself and the semantic problems found in contemporary logic.
To begin with the term itself: it comes from the eminent French linguist Bréal and is genetically connected with linguistics. In the late 19th century Michel Bréal published his Essai de semantique. Science des significations.”

Adam Schaff (1913–2006) Polish Marxist philosopher and theorist

Introduction to semantics, 1962

“Discontinuity of its linguistic and logical terms is for the conscious analytical intellect psychologically and logically prior to notions of continuity.”

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Lancelot Law Whyte 62

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