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Which statements is true of deductive reasoning?

Deductive reasoning is a logical process where conclusions are drawn from general premises or principles to reach specific conclusions. It follows a top-down approach, starting with a general statement or hypothesis and applying it to specific cases. If the premises are true and the reasoning is valid, the conclusion must also be true. This method is often used in mathematics and formal logic to prove theories or theorems.


How is deductive reasoning used in algebra and geometry proofs?

Both are axiomatic systems which consist of a small number of self-evident truths which are called axioms. The axioms are used, with rules of deductive and inductive logic to prove additional statements.


How different was Rene Descartes principle of reasoning with that of bacon?

Descartes reasoning was based on deriving principles that were then the premise of deductive reasoning. Bacon, on the other hand, used empirical observations that were then used for inductive reasoning.


What is an example of a sentence that has the word deductive reasoning in it?

Adults are 18 or older. Ahmed is an adult. Therefore, Ahmed is 18 or older.


What does inductive reasoning means in math?

Typically, inductive reasoning is a tool which is used to prove a statement for all integers, n. If you can show that a statement istrue for n = 1.if it is true for some value n = k you prove that it must be true for n=k+1, thenby the induction, you have proved that it is true for all values of n.

Related Questions

What is meant by deductive reasoning?

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.


Sentence with the word deductive?

He used deductive reasoning to solve the problem.


Which statements is true of deductive reasoning?

Deductive reasoning is a logical process where conclusions are drawn from general premises or principles to reach specific conclusions. It follows a top-down approach, starting with a general statement or hypothesis and applying it to specific cases. If the premises are true and the reasoning is valid, the conclusion must also be true. This method is often used in mathematics and formal logic to prove theories or theorems.


How did the Greeks use deductive reasoning?

Greeks used deductive reasoning when they choose philosophies. In the 6th century, deductive reasoning came about and the BCE arose and continued through the Hellenistic period.


What type of reasoning is used in the air is dry in the desert?

deductive reasoning


3 Explain the purposes of inductive and deductive reasoning in mathematics?

In mathematics, deductive reasoning is used in proofs of geometric theorems. Inductive reasoning is used to simplify expressions and solve equations.


What kind of reasoning is most often used to form hypotheses?

deductive reasoning


What type is reasoning is used in this example The air is dry in deserts?

deductive reasoning


What type of reasoning is used in this example the air dry deserts?

deductive reasoning


How is deductive reasoning used in algebra and geometry proofs?

Both are axiomatic systems which consist of a small number of self-evident truths which are called axioms. The axioms are used, with rules of deductive and inductive logic to prove additional statements.


In geometry you can use deductive rules?

In geometry, deductive rules can be used to prove conjectures.


What type of reasoning is used in this example the air is dry in deserts the sahara is a desert the gobi is a desert the mohave is a desert the air is dry in the sahara the gobi and the mohave?

deductive reasoning