What is equivalent to if A then B?

Conditionals: “if A then B” (or “A implies B”) is a conditional statement with antecedent A and consequent B. It’s contrapositive is “if not B then not A” and it’s converse is “if B then A”. Statements with the same truth table are said to be equivalent.

Is logic the same as philosophy?

is that philosophy is (uncountable|originally) the love of wisdom while logic is (uncountable) a method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved logic is the basis of many principles including the scientific method.

Is therefore the same as if then?

So we use “therefore” when we establish one fact and then want to say that another fact is a consequence of it, whereas we use “if … then” if we want to convey that the second fact is a consequence of the first without making any judgment about whether the first is true.

What is the difference in logic between if and if and only if?

How does this statement differ from “Suzie is selected IF, AND ONLY IF Bob is selected”. IF AND ONLY IF, is a biconditional statement, meaning that either both statements are true or both are false. So it is essentially and “IF” statement that works both ways. Note that IF AND ONLY IF is different than simply ONLY IF.

Can a be equal to B?

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.

What does inverse mean in logic?

In logic, an inverse is a type of conditional sentence which is an immediate inference made from another conditional sentence. More specifically, given a conditional sentence of the form , the inverse refers to the sentence. .

What is a logic statement known as?

From Wikipedia, the free encyclopedia. In logic, the term statement is variously understood to mean either: a meaningful declarative sentence that is true or false, or. a proposition.

Is if and only if redundant?

A biconditional represents the English expression “if and only if.” We represent it with <=>. It is the logical equivalent to the equals sign from algebra. Like the conditional operator, the biconditional operator is notationally redundant.

What is the difference between if and if only?

If only and only if are similar expressions that are used in different ways. If only expresses a hope or wish: If only I had a real choice in the matter.