Shared Flashcard Set

Details

Logic Altrichter
Final
60
Philosophy
Undergraduate 3
04/14/2009

Additional Philosophy Flashcards

 


 

Cards

Term
Simple Statement
Definition
A statement is simple iff it does not contain any other statement as a component.
Term
Compound Statement
Definition
A statement is compund iff it contains at least one simple statement as a component.
Term
Well-Formed Formula (WFF)
Definition

A well-formed formula is a syntactically correct arrangement of symbols, i.e.,

a. Upper case letters

b. Operators

c. Logical punctuation marks (parentheses, brackets, braces, etc.)

d. Logical variables (p,q,r,s,etc.)

Term
Main Operator
Definition
The main operator is the operator that determines the overall structure of a WFF.
Term
Subformula
Definition
a subformula is any well-formed part of a WFF
Term
Tautology (Logical Truth, Necessary Truth)
Definition

a. Statement Form: A statement form is a tautology iff it is true for every substitution instance (i.e., the final colum of its truth table has only T truth values).

b. Statement: A statement is a tautology iff it is a substitution instance of a tautologous form. 

Term
Self-Contradiction (Logical Falsity, Necessary Falsity)
Definition

Statement Form: A statement form is a self-contradiction iff it is false for every substitution instance (i.e., the final colum of its truth table has only F truth values).

b. Statement: A statement is a self-contradiction iff it is a substitution instance of a self-contradictory form.

Term
Contingency
Definition

a. Statement Form: A statment form is a contingency iff it is true for at lesat one substitution instance and false for at least one substitution instance (i.e., the final column of its truth table has at least one T truth value and at least one F truth value).

b. Statement: A statement is a contingency iff it is a substitution instance of a contingent form

Term
Logical Equivalence
Definition

a. Statement Forms: Two statement forms are logically equivalent iff the two final columns of their joint truth table are identical

b. Statements: Two statements are logically equivalent iff they are substitution instances of logically equivalent forms.

Term
Inconsistency
Definition

a. Statement Forms: Two statement forms are inconsistent iff there is no line in the final columns of their joint truth table on which both forms have the T truth value.

b. Statements: Two statements are inconsistent iff they are substitution instances of inconsistent forms.

Term
Consistency
Definition

a. Statement Forms: Two statement forms are consistent iff there is at least one line in the final columns of their joint truth table on which both forms have the T truth value.

b. Statements: Two statements are consistent iff they are substitution instances of consistent forms.

Term
Logical Implication
Definition

a. Statement Forms: One statement form logically implies another form iff there is no line in the final columns of their joint truth table on which the first has the T truth value, while the second has the F truth value.

b. Statements: One statement logically implies another statement iff they are substitution instances of implicative forms.

Term
Not____
Definition
Negation: ~
Term
It Is Flase That _____
Definition
Negation: ~
Term
It is not ture that _____
Definition
Negation: ~
Term
It is not the case that _____
Definition
Negation: ~
Term

___ And ___

Definition
Conjunction: ___ . ___
Term

Both ___ and ___

Definition
Conjunction: ___ . ___
Term
___ But ___
Definition
Conjunction: ___ . ___
Term
___ However ___
Definition
Conjunction: ___ . ___
Term
___ Nevertheless ___
Definition
Conjunction: ___ . ___
Term
___ Still ___
Definition
Conjunction: ___ . ___
Term
___ But still ___
Definition
Conjunction: ___ . ___
Term
___ Although ___
Definition
Conjunction: ___ . ___
Term
___ Even Though ___
Definition
Conjunction: ___ . ___
Term
___ Also ___
Definition
Conjunction: ___ . ___
Term
Not only ___ but also ___
Definition
Conjunction: ___ . ___
Term
___ Yet ___
Definition
Conjunction: ___ . ___
Term
___ Whereas ___
Definition
Conjunction: ___ . ___
Term

___ Moreover ___

Definition
Conjunction: ___ . ___
Term
___ As well as ___
Definition
Conjunction: ___ . ___
Term
___ Besides ___
Definition
Conjunction: ___ . ___
Term
___ On the other hand ___
Definition
Conjunction: ___ . ___
Term
___ While ___
Definition
Conjunction: ___ . ___
Term
___ or ___
Definition
Disjunction: ___ v ___
Term
Either ___ or ___
Definition
Disjunction: ___ v ___
Term
___ or else ___
Definition
Disjunction: ___ v ___
Term
___ Alternatively ___
Definition
Disjunction: ___ v ___
Term
If____then____
Definition

Conditional: ____ ) ____

a.

Term
____Only If____
Definition

Conditional: ____ ) ____

a.

Term
____Implies That____
Definition

Conditional: ____ ) ____

a.

Term
____Entails That____
Definition

Conditional: ____ ) ____

a.

Term
____Is A Sufficient Condition For____
Definition

Conditional: ____ ) ____

a.

Term
____If____
Definition

Conditional: ____ ) ____

b.

Term
____In Case That____
Definition

Conditional: ____ ) ____

b.

Term
____Provided That____
Definition

Conditional: ____ ) ____

b.

Term
____Given That____
Definition

Conditional: ____ ) ____

b.

Term
____On The Condition That____
Definition

Conditional: ____ ) ____

b.

Term
____Is A Necessary Condition That____
Definition

Conditional: ____ ) ____

b.

Term
____Whenever____
Definition

Conditional: ____ ) ____

b.

Term
____As Long As____
Definition

Conditional: ____ ) ____

b.

Term
____ IFF ____
Definition
Biconditional: _____ = ____
Term
____ Is Equivalent To ____
Definition
Biconditional: _____ = ____
Term
____ Is A sufficient and Necessary Condition For ____
Definition
Biconditional: _____ = ____
Term
____ Just In Case That ____
Definition
Biconditional: _____ = ____
Term
____ Just in the event That ____
Definition
Biconditional: _____ = ____
Term
____ Just insofar As ____
Definition
Biconditional: _____ = ____
Term
____ Instead of ____
Definition
____ And Not ____
Term
____ Without ____
Definition
____ And Not ____
Term
____ Rather Than ____
Definition
____ And Not ____
Supporting users have an ad free experience!