Theory Vs Theorem

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Theory Theorem ต่างอย่างไร
ผองเพื่อนช่วย เขียนไข กระจ่างเสนอ
ให้พื้นฐาน ชัดแจ้ง แจ่มนะเกลอ
อย่าปล่อยให้ หาวเรอ รอเก้อเลย

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A theory is a group of linked ideas intended to explain something.
A theory provides a framework for explaining observations.
The explanations are based on assumptions.
From the assumptions follows a number of possible hypotheses.
They can be tested to provide support for, or challenge, the theory.



A theorem is a proven idea in mathematics.
Theorems are proved using logic and other theorems that have already been proved.

Theorems are made of two parts, there are hypotheses and conclusions.

Theorems use deduction, in contrast to theories which are empirical.[2]

A theorem that someone must prove so that he/she can prove another theorem
is called a lemma.

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In mathematics, a theorem is a non-self-evident statement that
has been proven to be true,
either on the basis of generally accepted statements such as axioms or
on the basis of previously established statements such as other theorems.
[2][3][4]
A theorem is hence a logical consequence of the axioms,
with a proof of the theorem being a logical argument which
establishes its truth through the inference rules of a deductive system.

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