Manchester, United Kingdom

Pure Mathematics and Mathematical Logic

Master's
Language: EnglishStudies in English
Subject area: mathematics and statistics
Qualification: MSc
Kind of studies: part-time studies
Master of Science (MSc)
University website: www.manchester.ac.uk
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.)
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
Pure Mathematics
Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This has been a recognizable category of mathematical activity from the 19th century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on.
Logic
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 (1892) The Law of Mind.
Logic
Logic hasn't wholly dispelled the society of witches and prophets and sorcerers and soothsayers.
Raymond F. Jones (2012), The Non-Statistical Man
Pure Mathematics
Proof is the idol before whom the pure mathematician tortures himself.
Arthur Eddington, "Science and Mysticism," ch. 15 of The Nature of the Physical World (1928).
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