Logic quotes

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Herbert_George_Andrewartha

Model Making

“Model-making, the imaginative and logical steps which precede the experiment, may be judged the most valuable part of the scientific method because skill and insight in these matters are rare. Without them, we do not know what experiment to do. But it is the experiment which provides the raw material for scientific theory. Scientific theory cannot be built directly from the conclusions of conceptual models.”
  • Source: Herbert George Andrewartha, Introduction to the Study of Animal Population (1961), 181.

Aristotle

What Is

“To say that what is is not, or that what is not is, is false. And say that what is is, or that what is not is not, is true.”
  • Source: Aristotle, ‘Metaphysics’, 4.7. Circa 350 BCE.

Keywords: Logic_quotes Say_quotes False_quotes True_quotes

Reinout_Willem_van_Bemmelen

Validity of Hypothesis

“The functional validity of a working hypothesis is not a priori certain, because often it is initially based on intuition. However, logical deductions from such a hypothesis provide expectations (so-called prognoses) as to the circumstances under which certain phenomena will appear in nature. Such a postulate or working hypothesis can then be substantiated by additional observations ... The author calls such expectations and additional observations the prognosis-diagnosis method of research. Prognosis in science may be termed the prediction of the future finding of corroborative evidence of certain features or phenomena (diagnostic facts). This method of scientific research builds up and extends the relations between the subject and the object by means of a circuit of inductions and deductions.”
  • Source: Reinout Willem van Bemmelen. In 'The Scientific Character of Geology', The Journal of Geology (Jul 1961), 69, No. 4, 454-5.

William_Ian_Beardmore_Beveridge

Clues and Evidence

“While playing the part of the detective the investigator follows clues, but having captured his alleged fact, he turns judge and examines the case by means of logically arranged evidence. Both functions are equally essential but they are different.”
  • Source: W. I. B. Beveridge in his book ‘In The Art of Scientific Investigation’ published in 1950 and 1957, page 92.

Robert_N_Britcher

Testing Large Systems

“Many programmers do an adequate job of testing the logic of a single module. But testing an entire system is another matter. Once a module is absorbed into the mass of programs, running as part of the real world, the nature of testing changes.”
  • Source: Britcher, Robert N. (1999). The Limits of Software: People, Projects, and Perspectives. Reading, MA: Addison Wesley. ISBN 0-201-43323-0. Page 57.

Complexity of Loops

“... within a procedure, fascinating problems exist - for example, verifying the correctness of a loop, one of the most complex structures in logic.”
  • Source: Britcher, Robert N. (1999). The Limits of Software: People, Projects, and Perspectives. Reading, MA: Addison Wesley. ISBN 0-201-43323-0. Page 112.

Rudolf_Carnap

System of Statements

"Science is a system of statements based on direct experience, and controlled by experimental verification. Verification in science is not, however, of single statements but of the entire system or a sub-system of such statements."
  • Source: Rudolf Carnap, The Unity of Science (1934), trans. Max Black, 42.

Gordon_Glegg

Realms of the Design Mind

“The mind of the designer has three realms of activity... the inventive, the artistic, and the logical or rational.”

  • Source: Glegg, G. L. (1969). The Design of Design. Cambridge, UK: Cambridge University Press. ISBN: 978-0-511-79996-9. Chapter 2, page 18.

Douglas_Hofstadter

Art Of Deciding Truth

“My feeling is that the process by which we decide what is valid or what is true is an art; and that it relies as deeply on a sense of beauty and simplicity as it does on rock-solid principles of logic or reasoning or anything else which can be objectively formalized.”
  • Source: Hofstadter, Douglas R. (1979). Gödel, Escher, Bach: an Eternal Golden Braid. Written by Douglas R. Hofstadter. Basic Books, New York, NY. ISBN 13: 978-046502656-2. ISBN 10: 046502656-7. Chapter 20. Page 695.

Brooks_Jackson and Kathleen_Hall_Jamieson

Fact Driven

“Humans are not by nature the fact-driven, rational beings we like to think we are. We get the facts wrong more often than we think we do. And we do so in predictable ways: we engage in wishful thinking. We embrace information that supports our beliefs and reject evidence that challenges them. Our minds tend to take shortcuts, which require some effort to avoid ... [and] more often than most of us would imagine, the human mind operates in ways that defy logic.”
  • Source: Brooks Jackson, As co-author with Kathleen Hall Jamieson, in unSpun: Finding Facts in a World of Disinformation (2007), 69.

Carl_Jung

Insoluble Problems

“I always worked with the temperamental conviction that fundamentally there are no insoluble problems, and experience justified me in so far as I have often seen individuals simply outgrow a problem which had destroyed others. This ‘outgrowing’, as I formerly called it, on further experience was seen to consist in a new level of consciousness. Some higher or wider interest arose on the person's horizon, and through this widening of his view the insoluble problem lost its urgency. It was not solved logically in its own terms, but faded out when confronted with a new and stronger life-tendency. It was not repressed and made unconscious, but merely appeared in a different light, and so did indeed become different. What, on a lower level, had led to the wildest conflicts and to panicky outbursts of emotion, viewed from the higher level of the personality, now seemed like a storm in the valley seen from a high mountain-top. This does not mean that the thunderstorm is robbed of its reality, but instead of being in it, one is now above it. However, since we are both valley and mountain with respect to the psyche, it might seem a vain illusion to feel oneself beyond what is human. One certainly does feel the affect and is shaken and tormented by it, yet at the same time one is aware of a higher consciousness, which prevents one from becoming identical with the affect, a consciousness which takes the affect objectively, and can say, Ί know that I suffer'.”

Daniel_Kahneman

World Sense

“Our comforting conviction that the world makes sense rests on a secure foundation: our almost unlimited ability to ignore our ignorance.”

Bernardo_Kastrup

Inverting Materialism

“Here we have Jung completely inverting the logic of mainstream materialism: it’s the psychic function that creates, maintains, and modifies the organic structure, not the other way around.”
  • Source: From “Decoding Jung's Metaphysics: The Archetypal Semantics of an Experiential Universe”. Written by Bernardo Kastrup. Published by IFF Books, Washington DC. Kindle Edition. Page 78. Chapter 5.

David_Kipping

Simulation Experiments

“The simulation argument might be able to resist our physical experiments but is not able to escape our mathematical and logical reasoning.”
  • Source: David Kipping from the YouTube “Why You're Probably Not a Simulation”, posted 2020-09-04 in the channel ‘Cool Worlds’. Video offset 32:36. Online at https://youtu.be/HA5YuwvJkpQ (2025).

Lawrence_M_Krauss

Think the Unthinkable

“Science has taught us to think the unthinkable. Because when nature is the guide—rather than a priori prejudices, hopes, fears or desires — we are forced out of our comfort zone. One by one, pillars of classical logic have fallen by the wayside as science progressed in the 20th century, from Einstein's realization that measurements of space and time were not absolute but observer-dependent, to quantum mechanics, which not only put fundamental limits on what we can empirically know but also demonstrated that elementary particles and the atoms they form are doing a million seemingly impossible things at once.”
  • Source: Lawrence M. Krauss, In op-ed, 'A Universe Without Purpose', Los Angeles Times (1 Apr 2012).

Robert_K_Merton

Certified Knowledge

”The institutional goal of science is the extension of certified knowledge. The technical methods employed toward this end provide the relevant definition of knowledge: empirically confirmed and logically consistent predictions. The institutional imperatives (mores) derive from the goal and the methods. The entire structure of technical and moral norms implements the final objective. The technical norm of empirical evidence, adequate, valid and reliable, is a prerequisite for sustained true prediction; the technical norm of logical consistency, a prerequisite for systematic and valid prediction. The mores of science possess a methodologic rationale, but they are binding, not only because they are procedurally efficient, but because they are believed right and good. They are moral as well as technical prescriptions. Four sets of institutional imperatives – universalism, communism, disinterestedness, organized skepticism – comprise the ethos of modern science.”
  • Source: Robert King Merton, Social Theory and Social Structure (1957), 552-3.

John_Stuart_Mill

Knowledge and Logic

“The distinction is that the science or knowledge of the particular subject-matter furnishes the evidence, while logic furnishes the principles and rules of the estimation of evidence.”
  • Source: John Stuart Mill, In A System of Logic, Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation (1843), Vol. 1, 11.

John_von_Neumann

Language Historical

“It is only proper to realize that language is largely a historical accident... It is only reasonable to assume that logics and mathematics are similarly historical, accidental forms of expression.”
  • Source: John von Neumann. (1958). The Computer and the Brain (1st ed.). New Haven, CT: Yale University Press. Part 2, page 81.

Alan_Perlis

Ingenuity and Analysis

“Programmers are not to be measured by their ingenuity and their logic but by the completeness of their case analysis.”

Steven_Pinker

Neurons to Consciousness

“None of us has a brain that can actually put us in touch with reality unaided with truth. I've just shown you a bunch of gadgetry that responds to things that are essential to our survival, things that prevent us from falling off cliffs and bumping into trees. But they don't actually correspond to any clear description of the world as it is. So we have, for example, circuitry that responds to the edges rather than the physical distribution of light, because edges are important, that's where objects leave off and their backgrounds begin. Moreover, they can be fooled, as I did with each one of you. That since our neural circuitry does consist of a mechanism, not a pipeline to the truth or a window onto objective reality. That is naïve realism we know is false because there are illusions. You can't just trust your senses. That means we need some way of augmenting the faculties that nature gave us to make our beliefs as accurate as possible. Which of course is why the early modern philosophers made such a big deal of visual illusions. They said you can't just open your eyes and see the world as it is. Look at all these illusions. So what we do, what gives some of us confidence that our beliefs are objectively true is that they are part of an institutional infrastructure of testing and criticism and logic and determining which hypotheses withstand criticism and attempts at refutation. Devising exotic arrangements of reality to reflect the way reality is put together, namely experiments. Thanks to this huge network of minds, each one of them making up for deficits of all the others, we like to think that we have a collective grasp on truth that none of us individually can have. But of course, it's always fallible. The religious beliefs I think were actually pretty reasonable hypotheses in earlier states of our collective knowledge. Even Richard Dawkins said that before Darwin he probably would have been a creationist because the cosmic engineer was the only available explanation for the obvious adaptive complexity of living things. I would add that prior to the advent of modern neuroscience I probably would have believed in souls because there was no better explanation for phenomena such as that people respond intelligently to their environments. When you dream some part of you is up and about the world while your body is in bed the whole time. That seems like there must be some part of you that can leave your body. When a person suddenly dies some kind of animating force no longer seems to be animating the body that was there just a few minutes ago. So the soul hypothesis is not a stupid or irrational belief, nor is creationism if it's the best that you have. Now, of course, we can do better. But doing better in part depends not just on this cumulative weight of evidence and argument. But because few of us can actually reconstruct the scientific observations that justify the theory of natural selection or the theory of neural networks, all of us, at least a little bit, take it on faith in the following sense; that there is a community that you trust enough because when they have been challenged to defend their beliefs they can connect them to reality. They have shown that it isn't magic. That they have given reason to trust them because they've convinced you that they're the mores of their culture, of their scientific culture, designed so that they will find true things and weed out false things. If you don't have a degree of solidarity or trust, if you think that scientists are all in cahoots with big corporations or are trying to tear down all faith and values and meaning and you simply refuse to follow through the very long chain of deduction that connects the claims to the experiments, then you'll naturally reject it just because it's not your tribe. For you and me scientists are our tribe and we're apt to give them some credibility, indeed some credulousness, knowing that if ever challenged it would be repaid. But unless you trace that through it can be all too easy to reject the conclusions of science, and indeed a number of studies have shown that contrary to the common belief that people believe in falsehoods, such as that vaccines cause autism or that humans were created five thousand years ago or that the burning of fossil fuels has no effect on global temperatures, it turns out that people with those beliefs that we have every reason to believe are false are no more scientifically naïve on average than people that have beliefs that are scientifically justified. You give a test on evolution to a bunch of people who believe in evolution, give it to a bunch of creationists, there's not much difference in how well they score. In fact, often they are equal. Likewise, the typical grasp of climate science among someone who signs on to the scientific consensus is not much better than the adamant deniers. That kind of dashes the hope that simply by increasing the quality of science education you will lead people to more accurate beliefs. There, in addition, has to be a dissociation of who you think are the good guys and who are the bad guys from who has the best claims to truth. That's what it depends on.”

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Information and Computation Medium

“Information and computation reside in patterns of data and in relations of logic that are independent of the physical medium that carries them.”
  • Source: Steven Pinker (1997). How the Mind Works. New York, NY: W. W. Norton. ISBN 978-0-393-06973-0; eISBN 978-0-393-06973-0. Chapter 1 Section Reverse-Engineering the Psyche.

Karl_Popper

Epistemology

“In accordance with my proposal made above, epistemology, or the logic of scientific discovery, should be identified with the theory of scientific method. The theory of method, in so far as it goes beyond the purely logical analysis of the relations between scientific statements, is concerned with the choice of methods — with decisions about the way in which scientific statements are to be dealt with. These decisions will of course depend in their turn upon the aim which we choose from among a number of possible aims. The decision here proposed for laying down suitable rules for what I call the ‘empirical method’ is closely connected with my criterion of demarcation: I propose to adopt such rules as will ensure the testability of scientific statements; which is to say, their falsifiability.”
  • Source: Chapter 2. Popper, K. R. (2005). The Logic of Scientific Discovery | 1935 (1935/Epub ed.). New York, NY: Routledge.

James_Randi

Science Is Best Defined

“Science is best defined as a careful, disciplined, logical search for knowledge about any and all aspects of the universe, obtained by examination of the best available evidence and always subject to correction and improvement upon discovery of better evidence. What's left is magic. And it doesn't work.”
  • Source: James Randi, The Mask of Nostradamus: The Prophecies of the World's Most Famous Seer (1993), Page 66.

Bertrand_Russell

Science Ideal

“Science, in its ultimate ideal, consists of a set of propositions arranged in a hierarchy, the lowest level of the hierarchy being concerned with particular facts, and the highest with some general law, governing everything in the universe. The various levels in the hierarchy have a two-fold logical connection, traveling one up, one down; the upward connection proceeds by induction, the downward by deduction.”
  • Source: Bertrand Russell, In The Scientific Outlook (1931, 2009), 38.

Pure Mathematics

“Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true. Both these points would belong to applied mathematics. We start, in pure mathematics, from certain rules of inference, by which we can infer that if one proposition is true, then so is some other proposition. These rules of inference constitute the major part of the principles of formal logic. We then take any hypothesis that seems amusing and deduce its consequences. If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.”
  • Source: “Recent Work on the Principles of Mathematics”, published in 1901 within International Monthly, Vol. 4. later published as the essay “Mathematics and the Metaphysicians” within the book “Mysticism and Logic and Other Essays” by Bertrand Russell published in 1917 by George Allen & Unwin, London, England.

Baruch_Spinoza

True and False

“He, who knows how to distinguish between true and false, must have an adequate idea of true and false.”
  • Source: A book. Entitled Ethics. Also entitled Ethica. Written by Baruch Spinoza. Originally published 1677. Translated from Latin by R. H. M. Elwes. Part II, Prop. XLII proof. Online at https://en.wikisource.org/wiki/Ethics_(Spinoza).

Alfred_Tarski

Definition of Truth

“Not only does the definition of truth seem to be impossible, but even the consistent use of this concept in conformity with the laws of logic.”

Language Universality

“This universality of everyday language... is the primary source of all semantic antinomies, like the antinomy of the liar... Every language which is universal... and for which the normal laws of logic hold, must be inconsistent.”

Truth Doubtful

“The very possibility of a consistent use of the expression ‘true sentence’ which is in harmony with the laws of logic and the spirit of everyday language seems to be very questionable, and consequently the same doubt attaches to the possibility of constructing a correct definition of this expression.”

Alfred_North_Whitehead

Rigid Dogma Destroys Truth

“It is rigid dogma that destroys truth; and, please notice, my emphasis is not on the dogma, but on the rigidity. When men say of any question, ‘This is all there is to be known or said of the subject; investigation ends here,' that is death. It may be that the mischief comes not from the thinker but for the use made of his thinking by late-comers. Aristotle, for example, gave us our scientific technique ... yet his logical propositions, his instruction in sound reasoning which was bequeathed to Europe, are valid only within the limited framework of formal logic, and, as used in Europe, they stultified the minds of whole generations of medieval Schoolmen. Aristotle invented science, but destroyed philosophy.”
  • Source: Alfred North Whitehead, Dialogues of Alfred North Whitehead, as recorded by Lucien Price (1954, 2001), 165.

Shoshana_Zuboff

Frederick Taylor

“The man who emerged as the chief symbol of the rational approach to management was Frederick Taylor. Though much has been written on Taylor and the philosophy and methods of scientific management, it is worth highlighting a few central themes for three reasons. First, Taylorism explicitly treats the worker's body in its two dimensions -- as a source of effort and as a source of skill. Second, workers' responses to Taylorism reveal the ambivalence that this dual role of the body can create, as it did among the bleach plant operators or the nineteenth-century glassmakers. Third, the logic that motivated the early purveyors and adapters of scientific management has continued to dominate the course of automation in the twentieth-century workplace. As will be argued later, it is a logic that must undergo a fundamental reevaluation as information technology is widely adapted to productive activity.”
  • Source: Zuboff, S. (1988). In The Age Of The Smart Machine: The Future Of Work And Power. New York, NY: Basic Books, p. 41. ISBN:0465032125.

Divergence of Interests

“Taylor had believed that the transcendent logic of science, together with easier work and better, more fairly determined wages, could integrate the worker into the organization and inspire a zest for production. Instead, the forms of work organization that emerged with scientific management tended to amplify the divergence of interests between management and workers.”
  • Source: Zuboff, S. (1988). In The Age Of The Smart Machine: The Future Of Work And Power. New York, NY: Basic Books, p. 45. ISBN:0465032125.

Automation and Labor

“Perhaps the most compelling reality that drives managers to a narrowly conceived emphasis on automation is the web of economic logic in which they must operate. Frequently, new expenditures for technology can be justified only as a capital substitution for labor. It is often assumed that whatever was provided by the human contributor can be transferred to the automatic functioning of the machine system.”
  • Source: Zuboff, S. (1988). In The Age Of The Smart Machine: The Future Of Work And Power. New York, NY: Basic Books, p. 248. ISBN:0465032125.

Fundamental Scientific Management Reevaluation

“The logic that motivated the early purveyors and adapters of scientific management has continued to dominate the course of automation... It is a logic that must undergo a fundamental reevaluation as information technology is widely adapted to productive activity.”
  • Source: Zuboff, S. (1988). In The Age Of The Smart Machine: The Future Of Work And Power. New York, NY: Basic Books, p. 42. ISBN:0465032125.