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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 the difference between valid and invalid in the categorical syllogism?
In a categorical syllogism, a valid argument is one where the conclusion logically follows from the premises, regardless of whether the premises are true. In contrast, an invalid argument is one where the conclusion does not logically follow from the premises, meaning that even if the premises are true, the conclusion could still be false. Validity is concerned solely with the structure of the argument, while truth pertains to the actual content of the premises.
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 will the The truth table for a valid deductive argument show?
The truth table for a valid deductive argument will show that when the premises are true, the conclusion is also true. It will demonstrate that the argument follows the rules of deductive logic and the conclusion necessarily follows from the premises.
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 does a valid argument contain?
A valid argument contains a logical structure in which the premises logically lead to the conclusion. This means that if the premises are true, the conclusion must also be true. Additionally, the argument must follow the rules of logic, such as modus ponens or modus tollens.
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 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 are deductive arguments based on?
Deductive arguments are based on logical reasoning, where the conclusion necessarily follows from the premises. In a deductive argument, if the premises are true, then the conclusion must also be true. This form of reasoning aims to demonstrate the validity of the conclusion through the structure of the argument.
When the premise of a deductive argument follow the correct form we call the argument?
Valid. A deductive argument is considered valid when it follows the correct form of logic, even if the premises are not true. This means that if the premises of a valid deductive argument are true, then 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.
If a premise and the conclusion are true the argument is true?
Not necessarily. An argument is not automatically true just because the premise and conclusion are true. The reasoning connecting the premise to the conclusion must also be valid for the argument to be considered 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.
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 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.
