These two avenues to logical conclusions differ in specific ways. Deductive (de: from; ductive: drawn) gets to a conclusion by moving from known data to new data: inductive (in: toward; ductive: drawn) moves toward new data from known data. Inductive reasoning is not mathematical; that is, the new data is implied but not proven from the old data. Deductive reason is irrefutable; the simplest form is “All A is B; all B is C; therefore all A is C” (all kangaroos are marsupials: all marsupials are animals; therefore, all kangaroos are animals). Inductive reasoning deals not with “therefore” but with “maybe”: All marsupials live in Australia; koalas live in Australia; therefore (?) koalas are marsupials. (How about platypuses? Kuckaburras? Dingos?)
So, claim 1. is deductive; claim 2. is inductive. Claim 3. is simply invalid, since the information given leads to no conclusion at all; the information does not state that the only reason he does or does not play video games depends on his homework habits.
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