Quais são alguns exemplos de raciocínio indutivo e dedutivo no dia a dia?

Inductive reasoning is a weak construct for analysis as to factual observations but it is useful for seeing upcoming trends. Inductive vs deductive - Deductive uses universally true facts to make a conclusion. Mathematics uses deductive reasoning because there are absolute results if the premise is indeed factual. A more sound argument. Inductive takes one example of facts and expands the logic to all instances based on one premise. It’s not sound reasoning but helpful for predictive reasoning.

How about in Mathematics? Where is deductive reasoning applicable? Is it true that the mathematical operations + helps to increase and also multiplecation sign also used for increasing issues?

As an English teacher, I often help my students fast track their progress in the language by teaching them patterns. Patterns are recurring structures that can help predict how languages are used. This type of deductive reasoning boosts learners' independence, making them less reliant on teachers. Phonological patterns are used to teach pronunciation, which can often be predicted based upon on spelling. For instance, the addition of "e" at the end of some words, like "cap", change how the "a" sound is pronounced. In fact, "cap" and "cape" are pronounced differently. This pattern represents a general rule and then moves to specific applications, helping learners predict how to pronounce three-letter words when an "e" is added to them.

Deductive reasoning is like solving a puzzle. It involves applying set of general principles to each specific situations to draw logical conclusions. For instance, if you know that all right angles are equal, you can deduce that if two angles are right angles, they must be equal. And if you know that all cars need gasoline to run, you can deduce that if your car won't start, it might be because it is out of gas.

Unlike the inductive reasoning which aims at developing a theory, with deductive reasoning you begin with what is known commonly referred to as the general rule which is applied to specific cases to make rational and insightful conclusions. For example, if you know that excelling in class or in academics requires serious revisions, doing research, engaging in academic discussions e.t.c. then you can deduce that if you did not excel as expected, probably you never did serious reading or never did adequate research or academic engagement. In other words, deductive reasoning is used to predict situations and make judicious or sensible conclusions. It aims at testing an existing theory.

As long as the premise for deductive reasoning is true the logical conclusion is sound. Problems arise when the premise is weak and not universally true. Deductive reasoning requires rigorous restraint when deciding / evaluating a premise for use in this type of reasoning.

Too many use inductive reasoning to create rationale for the greater population - be it either data or people’s thoughts. Inductive reasoning, if not given a proof or if lacking application to a larger subset of data can offer a weak conclusion. When used by those trained in proving theorems using inference, the results can be sound. In the hands of those who want to make generalizations based on one or few accounts it can be deceptive. Thoroughly analyzing the premise for accuracy in inductive reasoning is a good first step to gaining skills in analysis.