Prague, Czech Republic

Algebra, Number Theory and Mathematical Logic

Language: English Studies in English
Subject area: mathematics and statistics
University website: www.cuni.cz
Years of study: 4
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
The successful development of science requires a proper balance between the method of building up from observations and the method of deducing by pure reasoning from speculative assumptions...
Paul Dirac, “Physical Science and Philosophy”, Nature (1937) Vol. 139, p. 1001.
Logic
Logic is in the eye of the logician.
Gloria Steinem (1984) cited in: Robert Byrne (2002) The 2,548 Best Things Anybody Ever Said
Theory
I firmly believe people have hitherto been a great deal too much taken up about doctrine and far too little about practice. The word doctrine, as used in the Bible, means teaching of duty, not theory. I preached a sermon about this. We are far too anxious to be definite and to have finished, well-polished, sharp-edged systems — forgetting that the more perfect a theory about the infinite, the surer it is to be wrong, the more impossible it is to be right.
George MacDonald, in a letter to his father, quoted in George MacDonald and His Wife (1924) by Greville MacDonald
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