“Third, these general ideas are not mere words, nor do they consist in this, that certain concrete facts will every time happen under certain descriptions of conditions; but they are just as much, or rather far more, living realities than the feelings themselves out of which they are concreted. And to say that mental phenomenon are governed by law does not mean merely that they are describable by a general formula; but that there is a living idea, a conscious continuum of feeling which pervades them, and to which they are docile.”

The Law of Mind (1892)

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Charles Sanders Peirce121

American philosopher, logician, mathematician, and scientist 1839–1914

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“Wherever ideas come together they tend to weld into general ideas; and whenever they are generally connected, general ideas govern the connection; and these general ideas are living feelings spread out.”

Charles Sanders Peirce (1839–1914) American philosopher, logician, mathematician, and scientist

The Law of Mind (1892)

“There is nothing in the real world which is merely an inert fact. Every reality is there for feeling: it promotes feeling; and it is felt.”

Alfred North Whitehead book Process and Reality

Source: 1920s, Process and Reality: An Essay in Cosmology (1929), Chapter IV, p. 310 https://books.google.com/books?id=uJDEx6rPu1QC&pg=PA310.

“Logical analysis applied to mental phenomenon shows that there is but one law of mind, namely that ideas tend to spread continuously and to affect certain others which stand to them in a peculiar relation of affectibility. In this spreading they lose intensity, and especially the power of affecting others, but gain generality and become welded with other ideas.”

Charles Sanders Peirce (1839–1914) American philosopher, logician, mathematician, and scientist

The Law of Mind (1892)

“Ideas do not make a movement; they are themselves merely the product of concrete situations, the intellectual precipitate of particular conditions of life. Movements arise only from the immediate and practical necessities of social life and are never the result of purely abstract ideas. But they acquire their irresistible force and their inner certainty of victory only when they are vitalised by a great idea, which gives them life and intellectual content.”

Rudolf Rocker book Anarcho-Syndicalism

Source: Anarcho-Syndicalism (1938), Ch. 2 "The Proletariat and the Beginning of the Modern Labour Movement"

“The first character of a general idea so resulting is that it is living feeling.”

Charles Sanders Peirce (1839–1914) American philosopher, logician, mathematician, and scientist

The Law of Mind (1892)
Context: The first character of a general idea so resulting is that it is living feeling. A continuum of this feeling, infinitesimal in duration, but still embracing innumerable parts, and also, though infinitesimal, entirely unlimited, is immediately present. And in its absence of boundedness a vague possibility of more than is present is directly felt.

“Second, by this and other means we are driven to perceive, what is quite evident in itself, that instantaneous feelings flow together in a continuum of feeling, which has in a modified degree the peculiar vivacity of feeling and has gained generality. And in reference to such general ideas, or continua of feeling, the difficulties about resemblance and suggestion and reference to the external, cease to have any force.”

Charles Sanders Peirce (1839–1914) American philosopher, logician, mathematician, and scientist

The Law of Mind (1892)

“We realize, however, that all scientific laws merely represent abstractions and idealizations expressing certain aspects of reality. Every science means a schematized picture of reality, in the sense that a certain conceptual construct is unequivocally related to certain features of order in reality;”

Ludwig von Bertalanffy (1901–1972) austrian biologist and philosopher

Source: General System Theory (1968), 4. Advances in General Systems Theory, p. 83

“As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”

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

Insofern sich die Sätze der Mathematik auf die Wirklichkeit beziehen, sind sie nicht sicher, und insofern sie sicher sind, beziehen sie sich nicht auf die Wirklichkeit. http://books.google.com/books?id=QF0ON71WuxEC&q=%22Insofern+sich+die+S%C3%A4tze+der+Mathematik+auf+die%22&pg=PA3#v=onepage Geometrie and Erfahrung (1921) pp. 3-4 link.springer.com http://link.springer.com/chapter/10.1007%2F978-3-642-49903-6_1#page-1 as cited by Karl Popper, The Two Fundamental Problems of the Theory of Knowledge (2014) Tr. Andreas Pickel, Ed. Troels Eggers Hansen. Ref: en.wikiquote.org - Albert Einstein / Quotes / 1920s http://books.google.com/books?id=QF0ON71WuxEC&q=%22beziehen+sind+sie+nicht+sicher+und+insofern+sie+sicher+sind+beziehen+sie+sich+nicht+auf+die+Wirklichkeit%22&pg=PA4#v=onepage 1920s, Sidelights on Relativity (1922)

“I'm not absolutely certain of the facts, but I rather fancy it's Shakespeare who says that it's always just when a fellow is feeling particularly braced with things in general that Fate sneaks up behind him with the bit of lead piping.”

P.G. Wodehouse book Jeeves and the Unbidden Guest

Source: Jeeves and the Unbidden Guest

“Our mathematical concepts, structures, ideas have been invented as tools to organise the phenomena of the physical, social and mental world. Phenomenology of a mathematical concept, structure, or idea means describing it in its relation to the phenomena for which it was created, and to which it has extended in the learning process of mankind, and, as far as this description is concerned with the learning process of the young generation, it is didactical phenomenology, a way to show the teacher the places where the learner might step into the learning process of mankind.”

Hans Freudenthal (1905–1990) Dutch mathematician

Source: The Concept and the Role of the Model in Mathematics and Natural and Social Sciences (1961), p. ix

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