Theorem vs Converse - What's the difference?
theorem | converse |
equivalently: given that "All Xs are Ys", then "All Ys are Xs".
(mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions''. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called ''lemmas
(mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true; as, (as which it was known long before it was proved in the 1990s.)
(logic) a syntactically correct expression that is deducible from the given axioms of a deductive system
(formal) To talk; to engage in conversation.
* Shakespeare
* Dryden
To keep company; to hold intimate intercourse; to commune; followed by with .
* Thomson
* Sir Walter Scott
* Wordsworth
(obsolete) To have knowledge of (a thing), from long intercourse or study.
* John Locke
Familiar discourse; free interchange of thoughts or views; conversation; chat.
* 1728 , (Edward Young), Love of Fame, the Universal Passion , Satire V, On Women, lines 44-46:
* 1919 , (Saki), ‘The Disappearance of Crispina Umerleigh’, The Toys of Peace'', Penguin 2000 (''Complete Short Stories ), p. 405:
Opposite; reversed in order or relation; reciprocal.
The opposite or reverse.
(logic) Of a proposition or theorem of the form: given that "If A is true, then B is true", then "If B is true, then A is true."''
equivalently: ''given that "All Xs are Ys", then "All Ys are Xs" .
In lang=en terms the difference between theorem and converse
is that theorem is a syntactically correct expression that is deducible from the given axioms of a deductive system while converse is of a proposition or theorem of the form: given that "If A is true, then B is true", then "If B is true, then A is true."equivalently: given that "All Xs are Ys", then "All Ys are Xs".
As nouns the difference between theorem and converse
is that theorem is a mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmasconverse is (noun_discourse) Familiar discourse; free interchange of thoughts or views; conversation; chat.As verbs the difference between theorem and converse
is that theorem is to formulate into a theorem while converse is to talk; to engage in conversation.As an adjective converse is
opposite; reversed in order or relation; reciprocal.theorem
English
Noun
(en noun)Synonyms
* (proven statement): lemma, proposition, statement * (unproven statement): conjecture * See alsoHolonyms
* theoryDerived terms
* central limit theorem * Pythagorean theorem * binomial theorem * * intercept theoremExternal links
* * *converse
English
Etymology 1
From (etyl)Verb
(convers)- Companions / That do converse and waste the time together.
- We had conversed so often on that subject.
- To seek the distant hills, and there converse / With nature.
- Conversing with the world, we use the world's fashions.
- But to converse with heaven — This is not easy.
- according as the objects they converse with afford greater or less variety
Derived terms
* conversationNoun
(en noun)- Twice ere the sun descends, with zeal inspir'd, / From the vain converse of the world retir'd, / She reads the psalms and chapters for the day [...].
- In a first-class carriage of a train speeding Balkanward across the flat, green Hungarian plain, two Britons sat in friendly, fitful converse .
Etymology 2
From (etyl)Adjective
(-)- a converse proposition
Noun
(en noun)equivalently: ''given that "All Xs are Ys", then "All Ys are Xs" .
- All trees are plants, but the converse , that all plants are trees, is not true.