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30 Cards in this Set
- Front
- Back
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Statement |
A sentence that can be classified as true or false. |
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Sentence convectives |
Not, and, or, if, then, if and only if, ect. |
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Negation |
The logical opposite. |
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Conjuction |
And, ^ |
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Disjunction |
Or, |
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Implication or conditional |
An if-then statement. |
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Antecedent |
The implication of the if-then statement. |
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Consequent |
The then part of an if-then statement. |
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Tautology |
A statement that is true in all cases. |
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Universal quantifier |
Read as "for every", or "for all" |
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Existential quantifier |
Read as "there exisits" or "there is at least one" |
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Counterexample |
An example to prove something false. |
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Deductive reasoning |
Applying a general principal to particular case. |
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Hypothesis |
P in the p gives q example. |
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Conclusion |
The q in the p gives q example. |
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Contrapositive |
Not q gives not p |
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Converse |
Where q gives p. Not necessarily true when p gives q is true. |
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Contradiction |
A statement that is always false. |
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Element |
Also called a member, is an object in a set. |
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Subset |
A set contained in a set. |
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Proper subset |
When all elements in one set belong to a parent set. |
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Equal sets |
When all elements of 2 sets are the same. |
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Closed interval |
[a,b] |
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Open interval |
(a,b) |
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Half-open interval or half-closed interval |
(a,b] or [a,b) |
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Empty set |
A set containing no members. |
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Union |
If x exisits in set A or set B. |
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Intersection |
If x exists in set A and set B. |
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Complement |
If x exists in set A and does not exist in set B. |
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Disjoint |
If A union B is empty set. If there is no element of ether set in both sets. |
