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What is induction in math term mean?
It is a method of proving a statement for all values of a variable - usually for all integers. Often, the process is as follows: Prove the statement for n = 1 Assume that the statement is true for n = k and prove that, in that case, it must be true for n = k+1. Invoke the law of induction to assert that it is true for all [integer] values of n.
Does falsification solve the problem of induction?
No, the problem of induction is too circular to be solved. Read some Thomas s. Kuhn or Karl Popper.
Is 0 equals 0 deduction or induction?
Neither. It is an IDENTITY.
True or false induction it a kind of thinking of thinking you use to form general ideas and rules based on mathrmatical formulas?
False. Induction is a method of reasoning used to form general conclusions based on specific observations or examples, not just mathematical formulas. In mathematics, mathematical induction is a specific technique used to prove statements about natural numbers, but the broader concept of induction applies to forming general ideas from empirical evidence across various fields.
How do you prove idempotent law?
The same way you prove anything else. You need to be clear on what you have and what you want. You can prove it directly, by contradiction, or by induction. If you have an object which is idempotent (x = xx), you will need to use whatever definitions and theorems which apply to that object, according to what set it belongs to.
