Brno, Czech Republic

Algebra, Number Theory and Mathematical Logic

Algebra, teorie čísel a matematická logika

Table of contents

Algebra, Number Theory and Mathematical Logic at MU

Language: Czech Studies in Czech
Subject area: mathematics and statistics
University website: www.muni.cz/
Years of study: 4

Definitions and quotes

Logic
Logic (from the Ancient Greek: λογική, translit. logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference. A valid inference is one where there is a specific relation of logical support between the assumptions of the inference and its conclusion. (In ordinary discourse, inferences may be signified by words like therefore, hence, ergo, and so on.)
Theory
A theory is a contemplative and rational type of abstract or generalizing thinking, or the results of such thinking. Depending on the context, the results might, for example, include generalized explanations of how nature works. The word has its roots in ancient Greek, but in modern use it has taken on several related meanings.
Theory
Great theories are expansive; failures mire us in dogmatism and tunnel vision.
Stephen Jay Gould, Eight Little Piggies (1993), "More Light on Leaves".
Logic
Logic is a feeble reed, friend. "Logic" proved that airplanes can't fly and that H-bombs won't work and that stones don't fall out of the sky. Logic is a way of saying that anything which didn't happen yesterday won't happen tomorrow.
Robert A. Heinlein, Glory Road, (1967), Ch. 5.
Logic
I have expos'd myself to the enmity of all metaphysicians, logicians, mathematicians, and even theologians; and can I wonder at the insults I must suffer?
David Hume (1739-40) A Treatise of Human Nature. Part 4 Of the sceptical and other systems of philosophy, Sect. 7 Conclusion of this book
When you think about the Earth’s oceans you probably imagine stretches of deep, dark water, exotic marine life and pristine waves. You probably don’t think of vast islands of plastic waste such as the Great Pacific Garbage Patch, an expanse of rubbish which some say is bigger than the continental United States. It was feared that collections of plastic debris like this were growing in line with our increasing rates of plastic production over the past decades. However, scientists have recently discovered that these floating eyesores are mysteriously receding – and that’s actually not a good thing…
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