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Deductive reasoning is a logical process in mathematics where conclusions are drawn from a set of premises or axioms that are assumed to be true. It involves applying general principles to reach specific conclusions. If the premises are valid and the reasoning is correctly applied, the conclusion must also be true. This method is foundational in mathematics, ensuring that results follow logically from established truths.
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What type of reasoning does a mathematical proof use?
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.
How is inductive reasoning different from deductive reasoning?
Inductive reasoning varies from deductive reasoning as follows: 1) inductive reasoning is a reason supporting an argument and 2) deductive reasoning is an argument against an argument.
Describe a conclusion reached from observations?
A "conjecture" is a conclusion reached simply from observations...this is a process known as "inductive reasoning". An example would be a weather forecast. The difference between "inductive reasoning" and "deductive reasoning" is that with deductive reasoning, the answer must "necessarily" follow from a set of premises. Inductive reasoning is the process by which you make a mathematical "hypothesis" given a set of observations
Who was the scientist that preferred inductive reasoning to deductive reasoning?
Rabelais
What are the two kinds of logic?
Deductive reasoning and inductive reasoning
What type of reasoning does a mathematical proof use?
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.
What type of a reasoning involves applying general principles to a specific case?
deductive reasoning it is deductive reasoning........
What is the disadvantage and advantage of deductive reasoning.?
disadvantages of deductive reasoning
What reasoning applies broad knowledge to specific examples?
deductive reasoning
How is inductive reasoning different from deductive reasoning?
Inductive reasoning varies from deductive reasoning as follows: 1) inductive reasoning is a reason supporting an argument and 2) deductive reasoning is an argument against an argument.
How do you use deductive reasoning in a sentence?
Deductive reasoning can be portrayed in the form of syllogisms.
What is the definition of inductive reasoning?
Inductive reasoning is " reasoning in which the premises seek to supply strong evidence for (not absolute proof of) the truth of the conclusion. While the conclusion of a deductive argument is supposed to be certain, the truth of the conclusion of an inductive argument is supposed to be probable, based upon the evidence given.". This is the reasoning behind most for scientific and mathematical studies.
What type of reasoning involves applying generally principles to specific case?
deductive reasoning it is deductive reasoning........
Inductive reasoning is weaker than deductive reasoning because?
Inductive reasoning is weaker than deductive reasoning because inductive reasoning is known as bottom-up logic where as deductive reasoning is known as top-down logic.
What does Deductive reasoning use?
Deductive reasoning uses logical principles to derive a specific conclusion from general premises. It involves moving from a pattern that is always true to a specific conclusion that must be true if the premises are true. This type of reasoning is often associated with mathematical and scientific methods of inquiry.
which is most important inductive or deductive reasoning?
which is the most important inductive or deductive reasoning
Describe a conclusion reached from observations?
A "conjecture" is a conclusion reached simply from observations...this is a process known as "inductive reasoning". An example would be a weather forecast. The difference between "inductive reasoning" and "deductive reasoning" is that with deductive reasoning, the answer must "necessarily" follow from a set of premises. Inductive reasoning is the process by which you make a mathematical "hypothesis" given a set of observations
