inductive reasoning

Examples of inductive reasoning in the following topics:

• Different Lines of Reasoning

  • Apply two different lines of reasoning—inductive and deductive—to consciously make sense of observations and reason with the audience.
  • One important aspect of inductive reasoning is associative reasoning: seeing or noticing similarity among the different events or objects that you observe.
  • Here is a statistical syllogism to illustrate inductive reasoning:
  • Deductive reasoning contrasts with inductive reasoning in that a specific conclusion is arrived at from the general principle when reasoning deductively.
  • Notice that inductive reasoning moves from specific instances to a general conclusion, whereas deductive reasoning applies a general principle to specific instances.

• Reasoning and Inference

  • Scientists use inductive reasoning to create theories and hypotheses.
  • An example of inductive reasoning is, "The sun has risen every morning so far; therefore, the sun rises every morning."
  • Inductive reasoning is more practical to the real world because it does not rely on a known claim; however, for this same reason, inductive reasoning can lead to faulty conclusions.
  • As you can see, inductive reasoning can lead to erroneous conclusions.
  • Can you distinguish between his deductive (general to specific) and inductive (specific to general) reasoning?

• Logic

  • Francis Bacon (1561-1626) is credited with formalizing inductive reasoning.
  • It is of course, incorrect to say, as has sometimes been said, that Bacon invented the inductive method of reasoning. ...
  • Abduction is similar to induction.
  • Abduction is the insight that occurs with less conscious formal reasoning than either induction or deduction.
  • It is the purpose of inductive and deductive reasoning to test the hypotheses that emerge from the process of abduction.

• Scientific Reasoning

  • To do this, they use two methods of logical thinking: inductive reasoning and deductive reasoning.
  • This type of reasoning is common in descriptive science.  
  • From many observations, the scientist can infer conclusions (inductions) based on evidence.
  • In deductive reason, the pattern of thinking moves in the opposite direction as compared to inductive reasoning.
  • Scientists use two types of reasoning, inductive and deductive, to advance scientific knowledge.

• Deploying a Rational Appeal

  • Our focus on reasoning and how you to use evidence to reason with your audience is part of the study of logos.
  • Prior to your speech, it is important to consider the soundness of your evidence and reasoning.
  • Inductive reasoning: If you are engaging in inductive reasoning, you will want to consider whether you have observed or collected enough evidence to draw a highly probable conclusion.
  • If you are using statistical evidence as part of your inductive reasoning, it is important to consider how the data was collected and whether it is truly valid.
  • If you do not have valid statistical data, then the inductions will not be valid.

• Reasoning

  • We use many mental shortcuts when conducting inductive, deductive, abductive, and analogous reasoning to find a solution to a problem.
  • Reason or "reasoning" is associated with thinking, cognition, and intellect.
  • In order to solve problems, we utilize four major forms of reasoning: deduction, induction, abduction, and analogy.
  • However, unlike deduction, induction, or abduction where at least one premise (or the conclusion) is general, analogy concerns itself only with specifics and particulars.
  • Differentiate between the processes of induction, deduction, abduction, and analogy, discussing heuristics that are used in these processes

• Proof by Mathematical Induction

  • Proving an infinite sequence of statements is necessary for proof by induction, a rigorous form of deductive reasoning.
  • The assumption in the inductive step that the statement holds for some $n$, is called the induction hypothesis (or inductive hypothesis).
  • To perform the inductive step, one assumes the induction hypothesis and then uses this assumption to prove the statement for $n+1$.
  • This completes the induction step.
  • Mathematical induction can be informally illustrated by reference to the sequential effect of falling dominoes.

• Motional EMF

  • As seen in previous Atoms, any change in magnetic flux induces an electromotive force (EMF) opposing that change—a process known as induction.
  • Motion is one of the major causes of induction.
  • When flux changes, an EMF is induced according to Faraday's law of induction.
  • To find the magnitude of EMF induced along the moving rod, we use Faraday's law of induction without the sign:
  • That a moving magnetic field produces an electric field (and conversely that a moving electric field produces a magnetic field) is part of the reason electric and magnetic forces are now considered as different manifestations of the same force (first noticed by Albert Einstein).

• Inductance

  • Specifically in the case of electronics, inductance is the property of a conductor by which a change in current in the conductor creates a voltage in both the conductor itself (self-inductance) and any nearby conductors (mutual inductance).
  • Self-inductance, the effect of Faraday's law of induction of a device on itself, also exists.
  • where L is the self-inductance of the device.
  • Units of self-inductance are henries (H) just as for mutual inductance.
  • The inductance L is usually a given quantity.

• Inductance

  • The answer is yes, and that physical quantity is called inductance.
  • Mutual inductance is the effect of Faraday's law of induction for one device upon another, such as the primary coil in transmitting energy to the secondary in a transformer.
  • The larger the mutual inductance M, the more effective the coupling.
  • Self-inductance, the effect of Faraday's law of induction of a device on itself, also exists.
  • where L is the self-inductance of the device.