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A statement that is proved by deductive reasoning is a?
A statement that is proved by deductive reasoning is a logically sound conclusion drawn from a set of premises or assumptions. Deductive reasoning uses syllogisms to derive a specific conclusion from general principles.
What is the difference between a postulate and an axiom in mathematics?
In mathematics, a postulate is a statement that is accepted as true without proof, while an axiom is a statement that is considered self-evident and serves as a starting point for logical reasoning. Both are fundamental assumptions used in mathematical reasoning, but postulates are specific to a particular mathematical system, while axioms are more general and foundational.
What is indirect reasoning?
Indirect reasoning is a method of proving a statement by showing that its negation leads to a contradiction or inconsistency. Instead of proving a statement directly, one assumes the negation of the statement and derives a contradiction to demonstrate that the original statement must be true.
What is the reasoning logically from given statement to a conclusion is called what?
The logical process of moving from a given statement or set of statements to a conclusion is called deductive reasoning. This type of reasoning involves drawing conclusions that are necessarily true based on the information provided in the premises.
Which of the following statements does not use emotional appeal as a persuasive technique?
The statement that presents factual evidence and logical reasoning without appealing to emotions does not use emotional appeal as a persuasive technique.
A statement that is proved by deductive reasoning is a?
A statement that is proved by deductive reasoning is a logically sound conclusion drawn from a set of premises or assumptions. Deductive reasoning uses syllogisms to derive a specific conclusion from general principles.
What does deducted mean?
Subtract amount from taxes owed. (If you qualify for the deduction)
A theorm is easily disproved?
A theorem is a statement that has been proven to be true using logic and mathematical reasoning. If a theorem is disproved, it means that there is a mistake in the proof or the assumptions made. This requires revisiting the reasoning and identifying where the error occurred.
What does assumed to be true with no proof mean?
"Assumed to be true with no proof" refers to a premise or statement that is accepted as valid without requiring evidence or verification. This often occurs in logical arguments, where certain assumptions are made to build a foundation for further reasoning. Such assumptions can be critical in mathematics, philosophy, or everyday reasoning, but they also carry the risk of leading to flawed conclusions if the assumptions are incorrect. In essence, it highlights the reliance on accepted beliefs or axioms in forming arguments or conclusions.
What is the difference between a postulate and an axiom in mathematics?
In mathematics, a postulate is a statement that is accepted as true without proof, while an axiom is a statement that is considered self-evident and serves as a starting point for logical reasoning. Both are fundamental assumptions used in mathematical reasoning, but postulates are specific to a particular mathematical system, while axioms are more general and foundational.
What word refers to supposing that a statement is true without proof?
The word that refers to supposing that a statement is true without proof is "assume." In logic and reasoning, to assume something means to take it for granted or accept it as fact without requiring evidence. This can be important in various fields, including mathematics and philosophy, where assumptions serve as foundational premises for further reasoning.
What type of statement results from inductive reasoning?
A generalised statement.
What is a theorem?
A theorem is a math term used to describe an idea that can be proved.A mathematical statement which has been proved trueIt is a statement or proposition which can be derived from a set of axioms and following a sequence of logical reasoning.
What type of cognitive skill that relates to the following statement The problem solver must identify the intent of statements ideas and concepts provided for interpretation?
Analysis
What are the type of cognitive skill that relates to the following statement The problem solver must identify the intent of statements ideas and concepts provided for interpretation?
analysis
Is the following a simple statement why are there 12 months in a year?
No, "why are there 12 months in a year" is not a simple statement; it is a question. A simple statement would present an assertion or fact, such as "There are 12 months in a year." The question seeks an explanation or reasoning behind the existence of 12 months.
What is indirect reasoning?
Indirect reasoning is a method of proving a statement by showing that its negation leads to a contradiction or inconsistency. Instead of proving a statement directly, one assumes the negation of the statement and derives a contradiction to demonstrate that the original statement must be true.
