Can Two Contradictory Statements Be False?

Can two contradictory statements be false?

Contraries may both be false but cannot both be true

. Contradictories are such that one of them is true if and only if the other is false.

Can two contradictory statements be true?

Dialetheism (from Greek δι- di- ‘twice’ and ἀλήθεια alḗtheia ‘truth’) is the view that there are statements that are both true and false. More precisely, it is the belief that

there can be a true statement whose negation is also true

. Such statements are called “true contradictions”, dialetheia, or nondualisms.

Why is a contradiction always false?

“Contradiction” and “always false” mean the same thing, logically speaking, as do “tautology” and “always true.” is true. So proving that something is a contradiction constitutes a proof that its negation is true, because

the negation of a contradiction—i.e. the negation of something that is false—is always true

.

What are two contradictory statements?

Oxymorons and paradoxes

are two types of contradictory statements.

Is a self contradiction true for every value or false for every value?

Self-contradiction (self contradictory statement) a statement which is

necessarily false on the basis of its logical structure

.

Is every statement either true or false?

every statement is either true or false

; these two possibilities are called truth values. An argument in which it is claimed that the conclusion follows necessarily from the premises. In other words, it is claimed that under the assumption that the premises are true it is impossible for the conclusion to be false.

Can something be not true and not false?

In the classical logic

something is neither true nor false if it is grammatically malformed to have a truth value

, so 2+5 or “x is blue” are not “true”, but not “false” either, they are not truth-apt.

Is a contradiction false?

A contradiction is something that is always false

, regardless of it’s truth values.

Why are contradictions impossible?

You cannot call two propositions where they are both true contradictory.

Contradiction must have the result one is true while the other is false & if one is false the other is true

. In this way one of the propositions is impossible. See Modal Logic: impossible means “always false”.

Is P ∧ Q → Pa contradiction?

Is a paradox A contradiction?

A paradox is a logically self-contradictory statement

or a statement that runs contrary to one’s expectation. It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.

What are examples of contradictions?

• I love you and I don’t love you.
• Butch is married to Barb but Barb is not married to Butch.
• I know I promised to show up today, but I don’t see why I should come if I don’t feel like it.
• The restaurant opens at five o’clock and it begins serving between four and nine.

How will you identify a statement of contradiction?

The basic idea for a proof by contradiction of a proposition is to

assume the proposition is false and show that this leads to a contradiction

. We can then conclude that the proposition cannot be false, and hence, must be true.

What do you call a statement that is always false?

Contradiction

: A statement form which is always false.

What do you call a statement whose truth values are all false?

There are two cases in which compound statements can be made that result in either always true or always false. These are called

tautologies and contradictions

, respectively.

What is the difference between contradiction and contingency?

A compound proposition that is always false is called a contradiction.

A proposition that is neither a tautology nor contradiction is called a contingency

.

Can a sentence be neither true or false?

Summary. In summary,

statements are the kind of sentences that are either true or false

. Sentences are ambiguous when they can be used to express several statements. When you have an ambiguous sentence, you need to decide which statement it is being used to express.

What makes a statement true or false?

A true-false statement is

any sentence that is either true or false but not both

. A negation of a statement has the opposite meaning of a truth value.

Is the opposite of a true statement always false?

If a statement’s inverse is true, then its converse is true (and vice versa).

If a statement’s inverse is false, then its converse is false

(and vice versa). If a statement’s negation is false, then the statement is true (and vice versa).

Is false and false false?

What is logical false?

Types of Logical Fallacies. Logical fallacies are

flawed, deceptive, or false arguments that can be proven wrong with reasoning

. These are the most common fallacies you should know about. Arguments and debates are an important part of college and academic discourse. But not every argument is perfect.

Are definition always true or they can be false?

Brentano says of definitions that they are composite names: “A name which is composed of several names and which names all logical parts of a logical whole from the highest genus of its range to its lowest species, is called a definition.”2 Accordingly,

we cannot say that they are true or false

.

What’s a contradictory statement?

adjective. If two or more facts, ideas, or statements are contradictory,

they state or imply that opposite things are true

.

Do contradictions exist?

Contradictions, as I understand them, are not merely statements that are always false but, as a conjugation of opposites

, the stuff which seems to make for the superb tension that may lie at the heart of existence, right where we find the creative dilemma.

When two sentences are never both true at the same time those two sentences are said to be?

If two sentences cannot be both true and cannot be both false, they are said to be

contradictory

. For example, “Socrates was a philosopher” and “Socrates was not a philosopher” are contradictory statements. If two sentences cannot be both true at the same time (form an inconsistent set), they are said to be contrary.

What causes contradiction?

In traditional logic, a contradiction occurs

when a proposition conflicts either with itself or established fact

. It is often used as a tool to detect disingenuous beliefs and bias.

What is law of contradiction in philosophy?

:

a principle in logic

: a thing cannot at the same time both be and not be of a specified kind (as a table and not a table) or in a specified manner (as red or not red)

What is contradiction truth functionality?

It is

a function such that

.

a proposition and any one of its contradictories are not both

.

true and are not both false, or have opposite truth-values

.

What is contradiction in truth table?

How do you tell if a truth table is a contradiction?

Are the statements P → Q ∨ R and P → Q ∨ P → are logically equivalent?

Since columns corresponding to p∨(q∧r) and (p∨q)∧(p∨r) match,

the propositions are logically equivalent

. This particular equivalence is known as the Distributive Law.

What causes contradiction?

Is a contradiction an argument?

An argument deals with opposing opinions, ideas, or beliefs.

A contradiction deals with opposing statements, phrases, and meanings.

What is the difference between a paradox and a contradiction?

A contradiction is something that cannot be true, because it refutes its premises. In the strictest sense, a paradox is something that can be neither be true nor false, because refuting the premises provides an equally false set of premises.

Do contradictions exist?

Contradictions, as I understand them, are not merely statements that are always false but, as a conjugation of opposites

, the stuff which seems to make for the superb tension that may lie at the heart of existence, right where we find the creative dilemma.