# Statements in sybolic logic

## What is symbolic logic with examples?

Symbolic logic example: Propositions: If all mammals feed their babies milk from the mother (A). If all cats feed their babies mother’s milk (B). All cats are mammals(C). The Ʌ means “and,” and the ⇒ symbol means “implies.”

## How do you write a statement in symbolic form?

Youtube quote: And Q after interchanging it we also use the negated version of statement P and statement Q. So if we're going to transform letter B into a symbolic form if a person is not male it will be not Q.

## What are the symbols in symbolic logic?

Basic logic symbols

⇒ → ⊃ U+21D2 U+2192 U+2283 implies; if … then
⇔ ≡ ⟷ U+21D4 U+2261 U+27F7 if and only if; iff; means the same as
¬ ˜ ! U+00AC U+02DC U+0021 not
U+1D53B Domain of predicate

## How do you write symbolic logic?

In symbolic logic, the conjunction of p and q is written p∧q . A conjunction is true only if both the statements in it are true. The following truth table gives the truth value of p∧q depending on the truth values of p and q .

## What is the symbolic statement of P Q?

In conditional statements, “If p then q” is denoted symbolically by “p q”; p is called the hypothesis and q is called the conclusion. For instance, consider the two following statements: If Sally passes the exam, then she will get the job. If 144 is divisible by 12, 144 is divisible by 3.

## What is the goal of symbolic logic?

Symbolic logicians attempt to deduce logical laws from the smallest possible number of principles, i.e., axioms and rules of inference, and to do this with no hidden assumptions or unexpressed steps in the deductive process (see axiomatic system).

## What kind of statement is P → Q?

Prove or disprove: for any mathematical statements p,q and r,p→(q∨r) is logically equivalent to ¬r→(p→q).

Logically Equivalent Statements.

p q p→q
F T T
F F T

## What is the converse of P → Q?

q → p

The converse of p → q is q → p. The inverse of p → q is ∼ p →∼ q. A conditional statement and its converse are NOT logically equivalent.

## How do you write a compound statement in symbolic form?

Quote from the video:
Youtube quote: Since there's only one and B. We have if the tire is flat. Then I will have to remove it and take it to the gas station. So this compound statement consists of if and then that's a condition.

## How do you translate a compound statement in symbolic form?

Quote from the video:
Youtube quote: So that means we can group the antecedent Q and not R. Giving us this particular statements P or if P then parenthesis Q and not R. So this is how you formulate the statements.