Logic vs Ideal - What's the difference?
logic | ideal |
logical
(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
(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.
(uncountable) The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit.
(pejorative) To engage in excessive or inappropriate application of logic.
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To apply logical reasoning to.
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To overcome by logical argument.
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Optimal; being the best possibility.
Perfect, flawless, having no defects.
* Rambler
Pertaining to ideas, or to a given idea.
Existing only in the mind; conceptual, imaginary.
* 1796 , Matthew Lewis, The Monk , Folio Society 1985, p. 256:
* 1818 , ,
Teaching or relating to the doctrine of idealism.
(mathematics) Not actually present, but considered as present when limits at infinity are included.
A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
(mathematics, order theory) A non-empty]] lower set (of a partially ordered set) which is [[closure, closed under binary suprema (a.k.a. joins).[http://en.wikipedia.org/wiki/Boolean_prime_ideal_theorem#Prime_ideal_theorems]
(for example, algebra) A subring closed under multiplication by its containing ring.
As an adjective logic
is logical.As a noun ideal is
ideal (perfect standard).logic
English
Alternative forms
* logick (archaic)Adjective
Noun
(wikipedia logic)- 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".
- It's hard to work out his system of logic .
- Fred is designing the logic for the new controller.
Synonyms
* formal logic, modern logic * formal system * (philosophy ): predicate logicDerived 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 logicVerb
External links
* * *ideal
English
Adjective
(en adjective)- There will always be a wide interval between practical and ideal excellence.
- The idea of ghosts is ridiculous in the extreme; and if you continue to be swayed by ideal terrors —
[[s:Frankenstein/Chapter 4, Chapter 4],
- Life and death appeared to me ideal bounds, which I should first break through, and pour a torrent of light into our dark world.
- the ideal theory or philosophy
- ideal point
- An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.
Synonyms
* See alsoNoun
(en noun)- Ideals are like stars; you will not succeed in touching them with your hands. But like the seafaring man on the desert of waters, you choose them as your guides, and following them you will reach your destiny -
- If (1) the empty set were called a "small" set, and (2) any subset of a "small" set were also a "small" set, and (3) the union of any pair of "small" sets were also a "small" set, then the set of all "small" sets would form an ideal .
- Let be the ring of integers and let be its ideal of even integers. Then the quotient ring is a Boolean ring.
- The product of two ideals and is an ideal which is a subset of the intersection of and . This should help to understand why maximal ideals' are prime ' ideals . Likewise, the union of and is a subset of .
