Q: WHICH OF THE FOLLOWING IS A VALID FORM OF EVIDENCE OF DEDUCTIVE REASONING?

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You start out with things that you know and use them to make logical arguments about what you want to prove. The things you know may be axioms, or may be things you already proved and can use. The practice of doing Geometry proofs inspires logical thinking, organization, and reasoning based on facts. Each statement must be supported with a valid reason, which could be a given fact, definitions, postulates, or theorems.

false

False

Plug the x-values into the original equation. If you get the same y-values, then the points are valid.

This is not a valid conversion. Cubic units is a measure of volume while square units is a measure of area.

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The valid form of evidence in deductive reasoning helps you come with an informed decision based on the evidence presented.

The valid form of evidence in deductive reasoning helps you come with an informed decision based on the evidence presented.

Yes, theorems - once they have been proved - are valid evidence.

Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.

A "reasoned argument" is a series of statements that use evidence and reasoning to persuade someone to accept or reject a particular opinion. A special case of a reasoned argument is the valid deductive argument. If you accept the premises of a valid deductive argument, then it would be absurd to reject its conclusion. Unfortunately, in many cases it is impossible to put together a valid deductive argument either for or against some important statement. And so we must muddle along with whatever weaker evidence and weaker reasoning we have available to form a reasoned argument and come to some useful opinion one way or the other. Unfortunately, too many people make statements without any evidence or reasoning at all.

Deductive reasoning allows for logical conclusions to be drawn from given premises, ensuring that the argument is valid if the premises are true. It provides a structured approach to reasoning, making it easier to follow and evaluate the logic of an argument. Additionally, deductive reasoning can lead to clear and definitive conclusions when used correctly.

Deductive reasoning is considered stronger because it involves drawing specific conclusions from general principles or premises that are assumed to be true. In deductive reasoning, if the premises are true and the logic is valid, then the conclusion must also be true. In contrast, inductive reasoning involves drawing general conclusions from specific observations, which makes it more prone to errors and uncertainties.

Deductive reasoning is a logical process where specific conclusions are drawn from general principles or premises. It involves moving from a general statement to a specific conclusion, with the aim of being logically valid. This type of reasoning is frequently used in mathematics and philosophy.

Deductive reasoning allows for drawing specific conclusions from general principles or premises. It proves that if the premises are true and the reasoning is valid, the conclusion must necessarily follow. It is a powerful tool for establishing the logical connections between ideas.

Deductive reasoning involves drawing specific conclusions from general principles or premises, leading to more certain outcomes compared to inductive reasoning, which involves drawing general conclusions from specific observations. Deductive reasoning follows a top-down approach, moving from the general to the specific, and is commonly used in mathematics and formal logic to guarantee valid conclusions.

One type of deductive reasoning that draws a conclusion from two specific observations is called modus ponens. This form of reasoning involves affirming the antecedent to reach a valid conclusion.

because it makes assumptions based on supported ideas