mathematical logic


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mathematical logic

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

mathematical logic

n
1. (Logic) symbolic logic, esp that branch concerned with the foundations of mathematics
2. (Mathematics) symbolic logic, esp that branch concerned with the foundations of mathematics
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

symbol′ic log′ic


n.
a modern development of formal logic employing a special notation or symbolism capable of manipulation in accordance with precise rules. Also called mathematical logic.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.mathematical logic - any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validitymathematical logic - any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity
logical system, system of logic, logic - a system of reasoning
Boolean algebra, Boolean logic - a system of symbolic logic devised by George Boole; used in computers
propositional calculus, propositional logic - a branch of symbolic logic dealing with propositions as units and with their combinations and the connectives that relate them
functional calculus, predicate calculus - a system of symbolic logic that represents individuals and predicates and quantification over individuals (as well as the relations between propositions)
modal logic - a system of logic whose formal properties resemble certain moral and epistemological concepts
fuzzy logic - a form of mathematical logic in which truth can assume a continuum of values between 0 and 1
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in classic literature ?
If there is to be parallelism, it is easy to prove by mathematical logic that the causation in physical and psychical matters must be of the same sort, and it is impossible that mnemic causation should exist in psychology but not in physics.
Some of Hilbert's problems remains unsolved, and some require formidable background and preparation to understand, say Murty and Fodden, but upper-level undergraduate mathematics students with just a basic introduction to elementary number theory and mathematical logic can understand the proof of his tenth problem.
The team formulated a new mathematical logic, called Timed Quality Temporal Logic, and used it to test two popular machine-learning tools - Squeeze Det and YOLO - using raw video datasets of driving scenes.
The team of researchers formulated a new mathematical logic, called Timed Quality Temporal Logic, and used it to test two popular machine-learning tools--Squeeze Det and YOLO--using raw video datasets of driving scenes.
And the need to understand the mathematical logic of probability is obvious.
Or having to kneel so I could enroll for the overbooked sociology class, wiping sweat before answering mathematical logic on the board while praying the 'Hail Mary' out loud, and writing in baybayin for a whole semester for papers in Philippine culture and studies.
But mathematical logic shows that the even digits can only be placed in the second, fourth and sixth positions in six different ways, the 5 has to be placed in the fifth position, and the remaining two odd digits placed in the remaining positions.
By using a minimum of mathematical logic in a well-motivated way, "Reverse Mathematics" will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.
There is no doubt in the fact that the mathematical logic as an intellectual practice has not been far from contemplation and the philosophical discourse, and disconnecting it from philosophy seems to be more of a systematic disconnection than a real one, because throughout the history of philosophy, the philosophers and what they have built as intellectual landmark, closed or opened, is standing on a logical foundation even if it did not come out as a symbolic mathematical logic.
It is believed that the mathematical theory R-functions proposed Rvachev V.L., originated at the crossroads of the classical methods of applied mathematics, cybernetics and methods of mathematical logic [3, 4].
Wang, Introduction to Mathematical Logic and Resolution Principle, Science Press, Beijing, China, 2nd edition, 2006 (Chinese).

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