Deductive reasoning moves from general principles to specific conclusions, while inductive reasoning moves from specific observations to broader generalizations. Deductive reasoning aims to prove a conclusion with certainty, while inductive reasoning aims to support a conclusion with probability.
An example of false deductive reasoning is the slippery slope fallacy, where it is argued that one event will inevitably lead to a series of negative events, without sufficient evidence to support this claim. This type of reasoning assumes that one thing will lead to another in an extreme or exaggerated way, which is not always the case in reality.
I have no idea what the best example is, but here are examples of inductive reasoning:When you eat peanuts, your throat swells making it hard to breath. From this, you conclude you're allergic to peanuts.All cats you are familiar with purr. You conclude all cats must purr.
A deductive argument with two premises is called a syllogism. In a syllogism, one premise is the major premise, another is the minor premise, and they lead to a conclusion.
The slippery slope is not always considered a fallacy in logical reasoning. It can be a valid argument if there is evidence to support the idea that one event will lead to another in a predictable way.
Logic and reasoning are essential in problem-solving and decision-making. For example, in mathematics, using logical steps to solve equations is a form of reasoning. In business, analyzing data and making decisions based on logical deductions is another example. In everyday life, weighing pros and cons to make a decision is a form of logical reasoning.
Generalization
In general, deductive logic takes a lot of information and tries to draw a conclusion from it. Inductive logic takes one piece of information and tries to generalize from there. That doesn't necessarily make one better than another... they are each important in different circumstances. In general science for instance, deductive logic is used most often. If you have a lot of observations, you might be able to figure out more about the subject of study. In interpersonal relationships, on the other hand, inductive logic is used most often. If one person reacts a certain way, then they figure that some other people will too. Both contribute to understanding, but are usually used very differently. I would also suggest looking up the terms in an online dictionary or encyclopedia, especially if you are asking about formal definitions.
This is a concept made more complex than necessary. The two complementary processes of inductive vs. deductive are very simply and easily understood. Consider the number series; 3, 5, 7, 'x', 11, 13, 15, 'y' Simple inspection shows this to be a series of 'odd' numbers, what a mathematician would call 'n+1'. Inductive vs. deductive simply describes the 'type' of reasoning used to determine either 'x' or 'y'. Because it lies 'inside' the other data points, the 'deduction' that 'x'=9 is reached by deductive logic, or, deductive reasoning. We 'deduce' x=9. 'y', on the other hand, lies 'outside' the data, i.e. we don't have a '19' on the 'right' of the 'y' to help us 'deduce' the answer. Much riskier than deductive logic/reasoning, we are forced to use less evidence than we did for the 'x' case. This method is called 'inductive logic/reasoning'. For those who've been exposed to just a little math, this process might seem similar to the dual processes of interpolation and extrapolation...that's because...they are. Identical. Smile, nod and thank those who try to convince you there's 'more to it than THAT!!!'. There isn't. 'Guessing' about anything from 'inside' the data = Deduction/Deductive Reasoning/Deductive Logic = fairly 'safe' procedure = (also) Interpolation. 'Guessing' about anything from 'outside' the data = Induction/Inductive Reasoning/Inductive Logic = slightly riskier procedure = (also) Extrapolation Example of Deductive Logic/Reasoning; Sign directly above two identical unmarked doors, saying 'Customer Restrooms'. Man exits 'left' door. Another man exits 'left' door. Person, with 'hoodie' up, leaves 'left' door. Fourth person, man, exits 'left' door. Deduction? Third person, of unknown gender, exiting 'left' door, was a man. Example of Inductive Logic/Reasoning (same scenario); 'Right' door is the 'ladies'. It really is just that simple.
An example of false deductive reasoning is the slippery slope fallacy, where it is argued that one event will inevitably lead to a series of negative events, without sufficient evidence to support this claim. This type of reasoning assumes that one thing will lead to another in an extreme or exaggerated way, which is not always the case in reality.
*analogy- comparison if two things alike in some aspects or they will be sembleone another in other aspect.*intuition - mental ability same as guessing.*inductive - forming of general statement from particular specific case.*deductive - making conclusion from general to particular stances.
*analogy- comparison if two things alike in some aspects or they will be semble one another in other aspect. *intuiton - mental ability same as guessing. *inductive - forming of general statement from particular specific case. *deductive - making conclusion from general to particular stances.
They had diffrent names.
logical approch
I have no idea what the best example is, but here are examples of inductive reasoning:When you eat peanuts, your throat swells making it hard to breath. From this, you conclude you're allergic to peanuts.All cats you are familiar with purr. You conclude all cats must purr.
What is the major difference between Symbolic logic and Aristotelian logic?1. Traditional Aristotelian logic (also called Classical Deductive Logic or Categorical Syllogisms) is an ancient method of deductive reasoning. Historians say that Aristotle, that ancient Greek philosopher guy, was the first to talk about syllogisms. In ancient Greece, men often first presented their arguments in syllogisms, and then they gave their arguments in a more rhetorical form. Men were held to a higher standard back then. This branch of logic gave us such famous lines of reasoning as:All men are mortal.Socrates is a man.Therefore, Socrates is mortal.2. Modern Symbolic Logic is another method of deductive reasoning developed after the seventeenth century. Gottfried Leibniz and other logicians had a vision for a more simple and useful method for translating ordinary reasoning into a universal language of symbols. Among other things, this method can more quickly analyze longer arguments to see if they are valid. This method of deductive reasoning made logic even more "mathematical." It also made it uglier.This translates into:If p is true, then q is true.p is true.Therefore, q is true.
Inductive reasoning occurs when after noting several observations, one can propose a rule governing the situation. For example, a student notices that 1 times 13 = 13 and 1 times 14 = 14 and 1times 15 = 15. The student concludes that 1 times any number will be the same number. Or as another example, a student notices that for the past 3 Fridays, his math teacher gives a quiz. Today is Friday and the student thinks, 'I bet we have a quiz in math class today.'
Knowledge cames through observation and experimentation. He also was the inventor of inductive reasoning and is considered the Father of Humanism. Another one of his theories was that all knowledge had to be Empirically (scientifically) verified to be valid. He was an English scientist (1561- 1626) and was knighted for his findings.