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Thea notices that 4 = 2 + 2, 6 = 3 + 3, 8 = 5 + 3, and 28 = 23 + 5, so she thinks that it is likely that every even number can be written as the sum of two prime numbers.

is this Deductive or Inductive?

2007-10-09 20:43:31 · 3 answers · asked by bollionaire 2 in Science & Mathematics Mathematics

3 answers

According to Wikipedia, induction is the process of reasoning in which the premises of an argument are believed to support the conclusion but do not ensure it. It is used to ascribe relationships based on a small number of observations or experiences.

I would say this falls into inductive reasoning because Thea has a limited number of observations and believes they support her conclusion.

For example, if I saw people walking by me carrying ice cream cones, I might infer by induction, that there is an ice cream shop nearby.

2007-10-09 20:49:50 · answer #1 · answered by Puzzling 7 · 0 0

1) Deductive, proving a lack of evidence. 2) That if i stole a cookie i would have chocolate stains on my hands if i had stolen the cookie 3)unstated in this example, but the premise does have some validity (IMO) 4) that if i had stolen a cookie there would probably be chocolate on my hands, as my hands would have melted the chips and leave stains. The fact there is no chocolate on my hands clears me of your accusations. 5) hell no, i just ate a CC cookie 20 minutes ago and i don't see anything on my hands. The kid could have washed his/her hands or not have gotten a chocolate on her/his hands. DO UR OWN HOMEWORK

2016-05-20 22:09:54 · answer #2 · answered by ? 3 · 0 0

inductive!!!!
Thea's conclusion is not very logical - It is more like an observation.
Except when she proves it logically and mathematically, it will become deductive.

2007-10-09 21:29:41 · answer #3 · answered by rofle 2 · 0 0

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