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Mathematics vs Logic - What's the difference?

mathematics | logic |

As a noun mathematics

is an abstract representational system used in the study of numbers, shapes, structure, change and the relationships between these concepts.

As an adjective logic is

logical.

mathematics

English

(wikipedia mathematics)

Alternative forms

* mathematicks (obsolete)

Noun

(-)
  • An abstract representational system used in the study of numbers, shapes, structure, change and the relationships between these concepts.
  • * 2001 , David Salsburg, The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century , page 8
    • In many cases, the mathematics involved are deep and complicated.
  • * 2002 , Ian Stewart, Does God Play Dice?: The New Mathematics of Chaos , page 38
    • The answer is 'yes', and the mathematics needed is the theory of probability and its applied cousin, statistics.
  • A person's ability to count, calculate, and use different systems of mathematics at differing levels.
    • My mathematics is not very good.
    Their mathematics are not very good.
    Their mathematics is not very good.

    Usage notes

    * Before the beginning of the 20th century, it was proper to say "My mathematics are not very good".

    Synonyms

    * (ability to use mathematics) numeracy * abbreviation: maths * See also

    Derived terms

    * applied mathematics * astromathematics * biomathematics * discrete mathematics * ethnomathematics * metamathematics * pseudomathematics * pure mathematics * recreational mathematics

    Related terms

    * mathematical * mathematically * mathematician

    See also

    * (wikipedia "mathematics") * (Definitions of mathematics) * polymath

    External links

    * PlanetMath.Org Encyclopedia * Mathematics using gifts * Mathematics Glossary * Mathworld Encyclopedia

    logic

    English

    Alternative forms

    * logick (archaic)

    Adjective

  • logical

    • Noun

    (wikipedia logic)
  • (uncountable) A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method.
  • (philosophy, logic) The study of the principles and criteria of valid inference and demonstration.
  • * 2001 , Mark Sainsbury, Logical Forms — An Introduction to Philosophical Logic, Second Edition , Blackwell Publishing, p. 9
    • An old tradition has it that there are two branches of logic: deductive logic and inductive logic. More recently, the differences between these disciplines have become so marked that most people nowadays use "logic" to mean deductive logic, reserving terms like "confirmation theory" for at least some of what used to be called inductive logic. I shall follow the more recent practice, and shall construe "philosophy of logic" as "philosophy of deductive logic".
  • (uncountable, mathematics) The mathematical study of relationships between rigorously defined concepts and of proof of statements.
  • (countable, mathematics) A formal or informal language together with a deductive system or a model-theoretic semantics.
  • (uncountable) Any system of thought, whether rigorous and productive or not, especially one associated with a particular person.
    • It's hard to work out his system of logic .
  • (uncountable) The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit.
    • Fred is designing the logic for the new controller.

    Synonyms

    * formal logic, modern logic * formal system * (philosophy ): predicate logic

    Related terms

    * logician * logical

    Derived terms

    (Derived terms) * Aristotelian logic * Boolean logic * chop logic * combinational logic * computability logic * deontic logic * diode logic * diode-transistor logic * first-order logic * formal logic * fuzzy logic * intensional logic * interpretability logic * intuitionistic logic * logic chopper * many-sorted logic * material logic * mathematical logic * modal logic * modern logic * multi-valued logic * negative logic * non-Aristotelian logic * philosophical logic * positive logic * predicate logic * propositional logic * provability logic * resistor-transistor logic * sequential logic * symbolic logic * traditional logic * transistor-transistor logic

    Verb

  • (pejorative) To engage in excessive or inappropriate application of logic.
  • *
  • To apply logical reasoning to.
  • *
  • To overcome by logical argument.
  • *

    • External links

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