21st October 2019

zweigmedia

11

What is the difference between tautology and contradiction?

Upvote6 Downvote2

"All is lost but there is hope." A compound statement is a tautology if its truth value is always T, regardless of the truth values of its variables. It is a contradiction if its truth value is always F, regardless of the truth values of its variables.

Just so, what is a tautology in logic?

In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation. Philosopher Ludwig Wittgenstein first applied the term to redundancies of propositional logic in 1921.

What is a contingency in truth tables?

A propositional form that is true in all rows of its truth table is a tautology. A propositional form that is false in all rows of its truth table is a contradiction. A propositional form that is true in at least one row of its truth table and false in at least one row of its truth table is a contingency.

Is a tautology a fallacy?

Tautology. Tautology in formal logic refers to a statement that must be true in every interpretation by its very construction. In rhetorical logic, it is an argument that utilizes circular reasoning, which means that the conclusion is also its own premise.

1

Is a tautology always true?

The opposite of a tautology is a contradiction, a formula which is "always false". In other words, a contradiction is false for every assignment of truth values to its simple components. I construct the truth table for and show that the formula is always true.

2

What is the opposite of a tautology?

I am unhappy with the assertion that "the opposite of a tautology is a contradiction, which is a statement that is always false." Given the definition of a tautology ("A logical tautology is a statement that is true regardless of the truth values of its parts") this is not true.

3

Is this statement a tautology?

A tautology is a statement that is always true. If all of the truth values in the final column are true, then the statement is a tautology. If any of the truth values in the final column are false, then the statement is not a tautology.

4

What is a tautological argument?

In rhetoric, a tautology (from Greek τα?τός, "the same" and λόγος, "word/idea") is an argument which repeats an assertion using different phrasing. The proposition, as stated, is thus logically irrefutable, while obscuring the lack of evidence or valid reasoning supporting the stated conclusion.

5

What is a contingent truth table?

A propositional form that is true in all rows of its truth table is a tautology. A propositional form that is false in all rows of its truth table is a contradiction. A propositional form that is true in at least one row of its truth table and false in at least one row of its truth table is a contingency.

6

What is the meaning of the word tautology?

Tautology is useless restatement, or saying the same thing twice using different words. “Speedy sprint" is a tautology because sprint already means "speedy running." The noun tautology originates from the Greek word tautologos, meaning “repeating what is said.”

7

What is a true table?

A truth table is a breakdown of a logic function by listing all possible values the function can attain. Such a table typically contains several rows and columns, with the top row representing the logical variables and combinations, in increasing complexity leading up to the final function.

8

How do I write a truth table?

Example 2

Step 1: Use a variable to represent each basic statement. P: The tire is flat.
Step 2: Write the compound statement in symbolic form. P -> (Q ^ R)
Step 3: Determine the order in which the logic operations are to be performed.
Step 4: Set up the truth table.
Step 5: Complete the table from left to right.

9

What is a tautology in philosophy?

The term has a particular meaning in the philosophy of science, and it is worth distinguishing the semantic from the logical here. A semantic tautology is basically a definition. The Oxford English Dictionary defines it as. a. A repetition of the same statement.

10

What is a converse statement?

Switching the hypothesis and conclusion of a conditional statement. For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet then it is raining." Note: As in the example, a proposition may be true but have a false converse.

11

What is tautology in English language?

In grammar, a tautology (from Greek tauto, "the same" and logos, "word"/"idea") is a statement that has repetitive or redundant wording. Specifically, a tautological statement uses more than one word effectively to say the same thing (often originally from different languages).

12

What is logically equivalent to?

In logic, statements and are logically equivalent if they have the same logical content. This is a semantic concept; two statements are equivalent if they have the same truth value in every model (Mendelson 1979:56). The logical equivalence of and is sometimes expressed as , , or .

13

What is the truth table in math?

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (

14

What is contingent in logic?

In philosophy and logic, contingency is the status of propositions that are neither true under every possible valuation (i.e. tautologies) nor false under every possible valuation (i.e. contradictions). A contingent proposition is neither necessarily true nor necessarily false.

15

What is a contradiction in maths?

A classic proof by contradiction from mathematics is the proof that the square root of 2 is irrational. If it were rational, it could be expressed as a fraction a/b in lowest terms, where a and b are integers, at least one of which is odd.

16

What is a contradictory statement in logic?

A logical contradiction is the conjunction of a statement S and its denial not-S. In logic, it is a fundamental law- the law of non contradiction- that a statement and its denial cannot both be true at the same time. Here are some simple examples of contradictions. 1. I love you and I don't love you. 2.

17

Are the inverse and converse logically equivalent?

The inverse and the converse of a conditional are logically equivalent to each other, just as the conditional and its contrapositive are logically equivalent to each other. But the inverse of a conditional cannot be inferred from the conditional.

18

What is a tautology in discrete math?

A tautology is a logical statement in which the conclusion is equivalent to the premise. More colloquially, it is formula in propositional calculus which is always true (Simpson 1992, p. 2015; D'Angelo and West 2000, p. 33; Bronshtein and Semendyayev 2004, p. 288).

19

What do you mean by logical equivalence?

Logical equivalence is a type of relationship between two statements or sentences in propositional logic or Boolean algebra. The relation translates verbally into "if and only if" and is symbolized by a double-lined, double arrow pointing to the left and right ( ).

Write Your Answer

Rate

60% people found this answer useful, click to cast your vote.

Similar Asks

Bookmark

Press Ctrl + D to add this site to your favorites!

Share