Pure mathematics is an example of inductive reasoning. Sometimes deductive indic
ID: 3119030 • Letter: P
Question
Pure mathematics is an example of inductive reasoning. Sometimes deductive indicators are inappropriately used by an arguer to make his or her conclusion seem to follow more strongly than it really does. If the premises of an argument are false, then the argument is neither deductive nor inductive. A generalization is an inductive argument form. The difference between a deductive and an inductive argument is the strength of the inferential claim made. A causal inference may proceed in either direction, from cause to effect or vice versa. If an arguer claims to have "deduced" a conclusion, then the argument must be deductive. To be a syllogism, an argument must have exactly two premises. If an inductive argument, the conclusion does not have to follow by strict necessity. A generalization always involve a sample of members from a larger group. A general statement makes a claim about every object in a set. Inductive arguments make use of necessary reasoning. Some syllogisms have only one premise. If everyone agrees with a conclusion of an argument, then the argument is deductive. The various inductive arguments forms are mutually exclusive.Explanation / Answer
1) Pure mathematics is deductive, therefore, this statement is false.
2) Statement is true.
3) If premises are false then arguement isn't valid anymore, therefore, it cannot be inductive or deductive. Hence, the statement is true.
4) Statement is true.
5) This statement is false. The difference between inductive and deductive reasoning is based upon the relationship between the conclusion and premises.
6) Statement is true. A casual inference may proceed from cause to effect or from effect to cause.
7) Statement is true.
8) It can have 2 or more, therefore, the word "exactly" makes this statement false.
9) This statement is false. For inductive arguments, conclusion needs to follow with strict necessity
10) Statement is true.
11) Statement is false.
12) Statement is true.
13) False. A Syllagism must have at least 2 premises.
14) Statement is false
15) Statement is false.
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