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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. A valid argument can have a false conclusion if the premises logically lead to that conclusion even though it is not true. Validity in logic refers to the structure of the argument, regardless of the truth or falsity of the premises or conclusion.
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?
In logic, a valid argument is one where the conclusion logically follows from the premises. A sound argument is a valid argument with true premises. So, a sound argument is not only valid, but it also has true premises, making it both logically correct and factually accurate.
What makes an argument inductive?
An argument is considered inductive when the conclusion is based on a series of specific observations or evidence that may support the conclusion but does not guarantee it. Inductive arguments rely on the probability of the conclusion being true rather than its certainty.
Can an argument with a true premises and true conclusion be invalid?
Yes, an argument with true premises and a true conclusion can still be invalid if the conclusion does not logically follow from the premises. Invalidity concerns the structure of the argument rather than the truth of the statements involved.
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?
A strong inductive argument can have a false conclusion if the premises are not relevant to the conclusion, even though they may seem to provide strong support. This can happen if there is a flaw in the reasoning or if there is a hidden assumption that is not valid. Strong inductive arguments should have premises that are actually connected to the conclusion in order for the argument to be valid.
