# mathematical deduction v. mathematical conclusion

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#### hhtt21

##### Key Member
What are "mathematical deduction" and "mathematical conclusion"? Are they abstract things? 2 is bigger than 1 and 3 is than 2 so 3 is bigger than 1. Is this a most simple mathematical deduction/mathematical conclusion?

Thank you.

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#### emsr2d2

##### Moderator
Staff member
Can you tell us where you found the phrases and, preferably, give us the source and author, and use them in full sentences?

#### hhtt21

##### Key Member
Can you tell us where you found the phrases and, preferably, give us the source and author, and use them in full sentences?
I have an example of "mathematical deduction". I have been now searching the Turkish correpondeces of "deduction/conclusion" and "mathematical deduction". I have this example: "In order that the mathematical deductions are consistent, we need some precise definitions of the basic concepts." I found it in my notes. I cannot find the original source unfortunately. The example with numbers have just been invented by I.

Thank you.

#### Raymott

##### VIP Member
"by I"? ... "by me."

'Conclusion' is a very common word which, as far as I know, means nothing special in maths. You do a sum, you get an answer, and that's the conclusion.
'Deduction' is a logical process. You have used deduction in figuring that 3 is bigger than 1 by the property of transitivity for integers. That is, If A > B and B > C, then A > C. Deduction is the method by which you came to the correct conclusion. Deduction is the process of following one logical step after another until you come to a conclusion.

PS. 1+1 = 2. This is a more simple conclusion; it requires no deduction since it is true by definition of the additive principle of integers, and there's only one step.

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