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What is a statement that is shown to be true by use of a logically developed argument?
The conclusion or deduction.
What is a disjunction in algebra?
"In logic and mathematics, a two-place logical connective or, is a logical disjunction, also known as inclusive disjunction or alternation, that results in true whenever one or more of its operands are true. E.g. in this context, "A or B" is true if A is true, or if B is true, or if both A and B are true" (Wikipedia)
Conclusion of or gates?
The graphics facilities available in this browser do not lend themselves to creating truth tables. Hope the following survives the browser (ignore the dots: they are needed for spacing)...............| Y True | Y False|X True...| True ...| True ...|X False. | True ...| False...|
Boolean algebra deals with what?
Boolean algebra deals with logic and truth as it pertains to sets and possibilities. It uses the and, or and not operators to set up truth tables to define if a statement is true or not.
What is it called when there is an equation that is always true?
an identity? maybe a tautology? Comment by mgately: In the field of discrete mathematics (simplified the study of logic) any expression which always evaluates to true is in fact called a tautology. While less cool sounding, an expression which always evaluates to false is just called a contradiction.
What does circular argument mean?
also known as circular logic. The reasoner begins with what they are trying to end with, meaning that the argument is valid if the beginning is true, the conclusion must also be true
What does negate the premise mean?
A premise is the fact or supposition upon which a chain of logic is based. If it is true, and logic (reasoning) is correctly applied, then the conclusion reached by the chain of logic is also true. When you negate the premise, you show that the premise is not true and that, therefore, the conclusion is not true, or at the least, has not been demonstrate to be true.
What is a logic argument?
A logic argument is a statement of logic. The term "argument" means a statement that could be true or false. A Statement that has not been tested as true or false is known as a theory. Logic is the term meaning the structure of an argument or statement and how it applies in its use.
A valid argument can have a false conclusion True or False?
True. - Valid arguments are deductive. - Arguments are valid if the premises lead to the conclusion without committing a fallacy. - If an argument is valid, that means that if the premises are true, then the conclusion must be true. - This means that a valid argument with a false premise can lead to a false conclusion. This is called a valid, unsound argument. - A valid, sound argument would be when, if the premises are true the conclusion must be true and the premises are true.
What is deductively valid argument?
A deductively valid argument is if the premises are true then the conclusion is certainly true, not possibly true. The definition does not say that the conclusion is true.
What makes an argument an argument?
An argument is inductive when it is based on probability, such as statistics. In an inductive argument, if the premises are true, the conclusion is probably true.
Can a sound argument have a false conclusion?
A sound argument cannot have a false conclusion. A sound argument refers to a deductive argument which is valid and has all true premises, therefore its conclusion cannot be false.
What is the difference between valid and sound in a argument?
Valid means that the argument leads to a true conclusion, given that its premises are true, but if an argument is valid that does not necessarily mean the conclusion is correct, as its premises may be wrong. A sound argument, on the other hand, in addition to being valid all of its premises are true and hence its conclusion is also true.
What makes an argument inductive?
An argument is inductive when it is based on probability, such as statistics. In an inductive argument, if the premises are true, the conclusion is probably true.
Can an argument with a true premises and true conclusion be invalid?
Yes. It could be a coincidence that the premises and conclusion are all true. For example, here is an argument: 1. It is true that if a person belongs to the Republican Party they must be an American. 2. Mitt Romney is an American. 3. Therefore, the conclusion is that Mitt Romney is a Republican. Although both premises and the conclusion are true, the argument is not valid. That is because it is possible to imagine an argument in this form where the premises were true, but the conclusion is not. (Imagine if the second premise were "Barack Obama is an American" which is true, leading to the conclusion "Barack Obama is a Republican" which is false.)
What is deductive validity?
A deductively valid argument is if the premises are true then the conclusion is certainly true, not possibly true. The definition does not say that the conclusion is true.
How Can a strong inductive argument have a false conclusion?
Since an inductive argument is an argument where the truth of the premises make it reasonable to hold that the conclusion is true, it does not necessarily guarantee it, meaning you could have a false conclusion.
