# Inductive Reasoning Essay

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Simple induction proceeds from a premise about a sample group to a conclusion about another individual.

This is a combination of a generalization and a statistical syllogism, where the conclusion of the generalization is also the first premise of the statistical syllogism.

Questions regarding the justification and form of enumerative inductions have been central in philosophy of science, as enumerative induction has a pivotal role in the traditional model of the scientific method.

This is enumerative induction, aka simple induction or simple predictive induction. In everyday practice, this is perhaps the most common form of induction.

The basic form of inductive inference, simply induction, reasons from particular instances to all instances, and is thus an unrestricted generalization.

If one observes 100 swans, and all 100 were white, one might infer a universal categorical proposition of the form All swans are white.This is analogical induction, according to which things alike in certain ways are more prone to be alike in other ways.This form of induction was explored in detail by philosopher John Stuart Mill in his System of Logic, wherein he states: Analogical induction is a subcategory of inductive generalization because it assumes a pre-established uniformity governing events.For the preceding argument, the conclusion is tempting but makes a prediction well in excess of the evidence.First, it assumes that life forms observed until now can tell us how future cases will be: an appeal to uniformity.There are 20 balls—either black or white—in an urn.To estimate their respective numbers, you draw a sample of four balls and find that three are black and one is white.Typically, inductive reasoning seeks to formulate a probability.Two dicto simpliciter fallacies can occur in statistical syllogisms: "accident" and "converse accident".In other words, it takes for granted a uniformity of nature, an unproven principle that cannot be derived from the empirical data itself.Arguments that tacitly presuppose this uniformity are sometimes called Humean after the philosopher who was first to subject them to philosophical scrutiny.

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