MMW Midterms

Proposition

Declarative statement that is either true or false and represented by a letter.

Simple proposition

Declarative statement that conveys a single idea or fact and cannot be broken down into smaller components

Negation

If the statement has “not” what does it convey

Christmas season is not approaching

Give the Negation

Christmas season is approaching.

Compound proposition

When a propositional or logical connective is placed between simple propositions

conjuction, disjunction, conditional, biconditional

what are the propositional/logical connectives

Conjuction

and, but, yet, still

Disjunction

or

v

What is the symbol for Disjunction

Conditional

If..then

Conditional

also called as implication

Antecendent

In conditional, what do you call the first proposition

Consequent

In conditional, what do you call the second proposition

Biconditional

also called bi-implication

Biconditional

if and only if

If I am blessed, then I will get through this crisis

MAKE IT CONVERSE
If I get through this crisis, then I am blessed

If I don’t get through this crisis, then I am not blessed

MAKE IT INVERSE
I am blessed, if I get through this crisis

If I am not blessed, then I will not get through this crisis

MAKE IT CONTRAPOPSITIVE
If I don’t get through this crisis, then I am not blessed

Universal quantification

indicates ALL

Existential quantification

indicates SOME

Some

IN NEGATION OF QUANTIFICATION

“All” becomes ___

None/No

IN NEGATION OF QUANTIFICATION

“Some” becomes ___