Inductive reasoning can be quickly summarized as a method through which a conclusion is drawn from particular cases; this conclusion may be applied to another specific case or generalized. All of our conclusions about the world around us, which we rely on daily without question, are dependent on this process. The expectation that our house will not cave in, that water will come from the faucet when turned on, that we will wake the next morning, are all propositions extrapolated from inductive arguments.
Hume in his work ‘An Enquiry Concerning Human Understanding’, after challenging the possibility of knowledge of cause and effect, posits that “The conclusions we draw from … experience are not based on reasoning or on any process of the understanding”. If it is indeed true that there is no rational basis for our acceptance of inductive reasoning, there is also no objective way to assess its validity. How do we gauge which inferences are acceptable and which are not? If it is completely arbitrary, why do we instinctively reject certain inferences as faulty?
Perhaps the greatest endeavor that owes itself to induction is science. Its claim to be in the pursuit of truth, of empirical knowledge, is entirely dependent on the validity of inductive reasoning. As such, science has developed ways and means to guarantee the validity of its conclusions; this includes randomizing samples, choosing appropriately sized sample groups and the use of statistics to calculate whether something is merely possible or is probable. Each of these methods (and there may be more) needs to be examined.
If we consider appropriately sized sample groups, we must ask ourselves how we define appropriate. If it is a particular ratio, that ratio would have to be...
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...ains why there can be a difference in the acceptable method of inductive reasoning when applied to myself as opposed to when I apply it to someone else. When regarding a risk to my wellbeing, I am not bound by society’s normative induction and can choose to take a greater risk if I so desire and it does not impose on anyone else. I do not reserve the same liberty when gauging risk for others.
In conclusion, if we attempt to characterize good vs. bad inductive arguments, every parameter chosen will be exhausted and ultimately found to be arbitrary. We must consider inductive logic to be something relative and I feel I have found a context that makes it universal at least for its practical uses. As far as science is concerned, when we view efficacy in terms of application, the inductive method has been proven empirically to be robust and is thus welcomed by society.
With inductive reasoning, jumping to conclusions is what the process calls for, but what Schulz is getting at is not the problem of jumping to conclusions; it is the problem of not overturning the false accusations of the assumption, thus creating stereotypes. Schulz expresses the frustration with the stubbornness behind stereotypes by exclaiming, “If the stereotypes we generate based on the small amount of evidence could be overturned by equally small amounts of counterevidence, this particular feature of inductive reasoning wouldn’t be terribly worrisome” (371). This problem that’s birthed from inductive reasoning is what Schulz wants us to “actively combat our inductive biases: to deliberately seek out evidence that challenges our beliefs, and to take seriously such evidence when we come across it”(373). Schulz wants us to challenge evidence when confronted rather than fall into the pitfalls of ignorant assumptions. Nearing the end of the chapter, Schulz warns that with attending to counterevidence is not hard, its conscious cultivation that’s the important key, without that key, “our strongest beliefs are determined by mere accidents of fate”(377). There is a threshold of new evidence above which our opinions would be amended, but what Schulz repeatedly brings us is that in many cases, that the threshold is not
...w. There is nothing enabling a scientist to say that induction is a suitable arrangement of evidence in which there is no way to account for the evidence, therefor being no liability in using induction to verify the statement.
In this passage, Schulz explores the pros and cons of inductive reasoning, which she describes as “the strategy of guessing based on past experience.” She then goes on to say that this strategy is very helpful because it helps us come to conclusions much faster. Usually, these conclusions we come to are correct. However, when we make bad assumptions, inductive reasoning can be very dangerous. To extend her argument, Schulz discusses multiple examples of induction gone wrong. She talks about how stereotypes are formed due to leaping to conclusions, a bias of inductive reasoning. Along with this, Schulz brings up how induction is also responsible for the continuation of stereotypes. Also, Schulz brings up the fact that sometimes evidence can be looking us right in our faces, yet we will ignore it or distort it in order to hold on to our previously made conclusions. This is known as confirmation bias, which is “the tendency to give more weight to evidence that confirms our beliefs than to evidence that challenges them.” This is the downfall of inductive reasoning; it’s not perfect, and we’re bound to be wrong at least some of the
Hume’s problem of induction is that inductive reasoning is not, in fact, reasonable. That is, we are not justified in reasoning inductively. This is because he believes that, in order to justify induction, we must use some form of the Uniformity Principle. This Uniformity Principle (henceforth noted as UP) states “[t]hat instances, of which we have had no experience, must resemble those, of which we have had experience, and that the course of nature continues always uniformly the same” (Hume 89). He also believes that “we must provide one of two types of justification for UP: (a) Show that UP is the conclusion of a deductive argument, or (b) show that UP is based on experience” (Crumley 15). He shows that it is not possible to prove this principle deductively because of problems of circularity, and that to show that it is based on experience is to be similarly circular. That is, providing evidence for something and using this as a justification for a believe is precisely what induction is all about, and so one ends up justifying induction through induction. (Crumley 14-16)
In Douglas’ article, she argues that “non-epistemic values are a required part of the internal aspects of scientific reasoning for cases where inductive risk includes risk of non-epistemic consequences (Douglas, p. 559). She continues on to explain the foundation for the term inductive risk, and how it came about. “Inductive risk, a term first used by Hempel [in 1965, it] is the chance that one will be wrong in accepting (or rejecting) a scientific hypothesis” (Douglas, p. 561). Apparently, traditional philosophers contend the values act as a precursor to scientific arguments. However, Hempel believed that these values should
Inferential statistics establish the methods for the analyses used for conclusions drawing conclusions beyond the immediate data alone concerning an experiment or study for a population built on general conditions or data collected from a sample (Jackson, 2012; Trochim & Donnelly, 2008). With inferential statistics, you are trying to reach conclusions that extend beyond the immediate data alone. For instance, we use inferential statistics to try to infer from the sample data what the population might think. A requisite for developing inferential statistics supports general linear models for sampling distribution of the outcome statistic; researchers use the related inferential statistics to determine confidence (Hopkins, Marshall, Batterham, & Hanin, 2009).
evidentiary fact in science, just like all other facts of biology, physics, chemistry, etc. It
Since the mid-20th century, a central debate in the philosophy of science is the role of epistemic values when evaluating its bearing in scientific reasoning and method. In 1953, Richard Rudner published an influential article whose principal argument and title were “The Scientist Qua Scientist Makes Value Judgments” (Rudner 1-6). Rudner proposed that non-epistemic values are characteristically required when making inductive assertions on the rationalization of scientific hypotheses. This paper aims to explore Rudner’s arguments and Isaac Levi’s critique on his claims. Through objections to Levi’s dispute for value free ideal and highlighting the importance of non-epistemic values within the tenets and model development and in science and engineering,
I will now examine another inductive argument which involves the statement “all observed emeralds are green” as the first premise and the Principle of Uniformity of Nature (PUN) as the second. According to the PUN, all unobserved instances in nature are like observed instances. Accordingly, the conclusion of the above argument would be “all emeralds are green”, which seems to be justified. Looking at the above argument, it is not surprising to believe that someone might think justifying the PUN would solve the problem of induction.
There are two main types of arguments: deductive and inductive. A deductive argument is an argument such that the premises provide (or appear to provide) complete support for the conclusion. An inductive argument is an argument such that the premises provide (or appear to provide) some degree of support (but less than complete support) for the conclusion. If the premises actually provide the required degree of support for the conclusion, then the argument is a good one. A good deductive argument is known as a valid argument and is such that if all its premises are true, then its conclusion must be true. If all the argument is valid and actually has all true premises, then it is known as a sound argument. If it is invalid or has one or more false premises, it will be unsound. A good inductive argument is known as a strong (or "cogent") inductive argument. It is such that if the premises are true, the conclusion is likely to be true.
For example, a strong inductive argument could be that, “Joe and Tim are both in boxing club. Joe has red gloves, therefore Tim probably has red gloves.” This argument does not ensure that Tim has red gloves, but since the argument follows a logical structure and the premises that both Joe and Tim are in boxing club and that Joe has red gloves are probably true, the argument leads to a strong conclusion.
In the selection, ‘Skeptical doubts concerning the operations of the understanding’, David Hume poses a problem for knowledge about the world. This question is related to the problem of induction. David Hume was one of the first who decided to analyze this problem. He starts the selection by providing his form of dividing the human knowledge, and later discusses reasoning and its dependence on experience. Hume states that people believe that the future will resemble the past, but we have no evidence to support this belief. In this paper, I will clarify the forms of knowledge and reasoning and examine Hume’s problem of induction, which is a challenge to Justified True Belief account because we lack a justification for our beliefs.
In this book, Samir Okasha kick off by shortly describing the history of science. Thereafter, he moves on scientific reasoning, and provide explanation of the distinction between inductive and deductive reasoning. An important point Samir makes, is the faith that humans put into the inductive reasoning
Inductive reasoning is logical reasoning where people have a lot of the information and use that to reach a conclusion. It is viewing the available data and figuring out what will be the results. For instance, from an online article, it demonstrates, “Inductive reasoning is a logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion” (Rouse, 2013). It shows that there are a lot of ideas to analyze and calculate what the possible outcomes will be. It can also be done by looking at patterns. When looking at patterns, it is important to study it to see what is recurring. This makes it possible to predict what will happen based on the knowledge that has been collected. Inductive reasoning is using information or events that have happened in the past to see what is in store for the future.
During week three of this course, I was able to clearly identify the difference between Inductive arguments, and deductive argument. Deductive arguments consist of multiple premises generally assumed to be true, therefore, the conclusion must be true. However, in the inductive reasoning, the premises are all believed to be true, for the truth of the conclusion, but there’s always a possibility that the conclusion can either be true or false.