MMW, CONVENTIONS AND MATHEMATICAL STATEMENTS Flashcards
3 KINDS OF MATHEMATICAL STATEMENTS
- UNIVERSAL STATEMENT
- CONDITIONAL STATEMENT
- EXISTENTIAL STATEMENT
SAYS THAT THE CERTAIN ELEMENT IS TRUE FOR ALL SETS
UNIVERSAL STATEMENT
SAYS THAT IF ONE THING IS TRUE THEN THE OTHER THING MUST BE TRUE ALSO
CONDITIONAL STATEMENT
GIVEN THAT A PROPERTY MAY OR MAY NOT BE TRUE; SAYS THAT THERE IS ATLEAST ONE THING FOR WHICH THE PROPERTY IS TRUE
EXISTENTIAL STATEMENT
CONTAINS “FOR ALL” AND “IF- THEN” STATEMENTS
UNIVERSAL CONDITION STATEMENTV
ITS FIRST PART SAYS THAT A CERTAIN PROPERTY IS TRUE FOR ALL OBJECTS OF A GIVEN TYPE; ITS SECOND PART ASSERTS THE EXISTENCE OF SOMETHING
UNIVERSAL EXISTENTIAL STATEMENTS
FIRST PART ASSERTS THAT THE CERTAIN OBJECT EXISTS; SECOND PART SAYS THAT THE OBJECT SATISFIES A CERTAIN PROPERTY FOR ALL THINGS OF A CERTAIN KIND
EXISTENTIAL UNIVERSAL STATEMENT
USE “ALL”, “FOR ALL”, “EVERY” PHRASES
UNIVERSAL STATEMENTS
USE “IF-THEN” PHRASES
CONDITIONAL STATEMENTS
USE “THERE IS”, “ATLEAST” PHRASES
EXISTENTIAL STATEMENTS