Miscellaneous Quiz / Logic (Basic)

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Can you name the Logic (Basic)?

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A collection of objects
a set that contains only ordered pairs
the relation R such that for any element d of the set s, the pair (d,d) is an element of R
the relation R such that for any elements d, e of the set S, if (d,e)∈R then (e,d)∈R
the relation R such that for no elements d, e of the set S: (d,e)∈R and (e,d)∈R
the relation R such that for no two distinct elements d, e of S: (d,e)∈R and (e,d)∈R
the relation R such that for all elements d,e,f of the set s: if (d,e)∈R and (e,f)∈R then also (d,f)∈R
what is the difference between asymmetry and antisymmetry?
the outer brackets may be omitted from a sentence that is not part of another sentence
the inner set of brackets may be omitted from a sentence of the form ((φ^ψ)^χ)
an assignment of exactly one truth-value (T or F) to every sentence letter of L1
a binary relation R such that for all elements d,e,f: if (d,e)∈R and (d,f)∈R then e=f
for a function R, the set {d: there is an e such that (d,e)∈R}
of a function R, the set {e: there is a d such that (d,e) ∈R)
a set containing only n-taples, called relation of arity n
HintAnswer
consists of a set of declarative sentences (the premises) and a declarative sentence (the conclusion) maked as the concluded sentence
an argument for which there is no interpretation under which the premises are true and the conclusion is false
the set obtained by adding the negation of the conclusion to the premises is inconsistent
a sentence which is true under any interpretation
a sentence which is false under any interpretations
sentences which are true under exactly the same interpretations
a sentence of L1 which is true under all L1 structures (AKA tautology)
a sentence of L1 which is not true in any L1 structure
a sentence φ and a sentence ψ are logically equivalent iff both are true in exactly the same L1 structures
a connective for which the truth-value of the compound sentence cannot be change by replacing a direct subsentence wiht another sentence having the same truth-value
an english sentence which has a formalisation in propositional logic that is logically true)
a sentence which has a formalisation in propositional logic that is a contradiction
an english sentence in which the set of all their formalisation in propositional logic is semantically consistent
an argument in english for which the formalisation in L1 is valid
 

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