Logic Flashcards
is a declarative statement that can be evaluated either true or false but cannot be both
proposition
A______ ___________ consists of one (1) declarative sentence or statement.
simple proposition
A ________ __________consists of two (2) or more simple propositions joined together by _______ _________
compound proposition , logical operators
combine two (2) or more simple propositions to form a new compound proposition
logical operators
modify the meaning of a proposition.
logical operators
Conjunction: Uses the word “and” to join together two (2) propositions
Conjunction
Uses the word “or” to join together two (2) propositions
Disjunction
Uses “if-then” to construct a new proposition from two (2) propositions
Implication
In an ___________, the first proposition is called the premise while the second is called the ________.
implication , conclusion
Uses “if and only if” or “is equivalent to” to construct a new proposition from two (2) propositions
Biconditional
Precedes a proposition with the word “not”
Negation
A _________ is a proposition that is always true under any circumstance
tautology
a _____________ is always false under any circumstance
contradiction
_____ __ _________ are rules that provide the way of drawing a correct conclusion from a given premise. With these rules are ___________ that draw correct conclusion from two (2) or more premises.
Rules of inference , syllogisms
If 𝑄𝑄 is the consequence of 𝑃𝑃, and 𝑃𝑃 happens, then 𝑄𝑄 also happens. (This rule of inference is known as _____ ______.)
Modus Ponens
If 𝑄𝑄 is the consequence of 𝑃𝑃, and 𝑄𝑄 did not happen, then 𝑃𝑃 does not happen. (This rule of inference is known as _____ _______.)
Modus Tollens
The last two (2) arguments in which the conclusion absolutely follows from the given premises is called _________
syllogism
A _______ is a kind of reasoning in which the conclusion does not necessarily or logically follow from the premise
fallacy
The error of attributing to the whole what is observed to some is known as the _______ __ ___________
fallacy of composition
(The error of failing to give logical connection between the premise and the conclusion, but rather the arguments appeal to one’s emotion is known as the ______ __ _________.)
fallacy of relevance