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Is inductive or deductive reasoning the best way to approach a geometric proof?
ArriBertram
Please remember proof gives absolute truth, which means it HAS to be true for all cases satisfying the condition. Hence, inductive reasoning will NEVER be able to be used for that ---- it only supposes that the OBSERVED is true than the rest must, that's garbage, if it's observed of course it's true (in Math), no one knows what will come next. But it's a good place to start, inductive reasoning gives a person incentive to do a full proof.
Do NOT confuse inductive reasoning with inductive proof.
Inductive reasoning: If a1 is true, a2 is true, and a3 is true, than a4 should be true.
Inductive Proof: If a1 is true (1), and for every an, a(n+1) is true as well (2), then,
since a1 is true (1), then a2 is true (2), then a3 is true (2).
You see, in inductive proof, there is a process of deductive reasoning ---- proving (1) and (2). (1) is usually, just plugin case 1. (2) provides only a generic condition, asking you to derive the result (a (n+1) being true), that is deductive reasoning.
In other words, proof uses implications a cause b, and b cause c hence a cause c.
Inductive says though a causes c because I saw one example of it.
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What are the difference between direct approach and indirect approach with the respondent in a qualitative research?
Establish Sequence with Organizational PatternsYou have two options after you have defined and grouped your ideasDirect ApproachIndirect ApproachDirect Approach(deductive)Putting the main idea first followed by evidence.Indirect Approach (inductive)Putting the main idea later and evidences first. Use direct order if the audience's reaction is to be positive and indirect order if it is likely to be negative. Short messages follow one of four organizational plans, depending on the audience's probable reaction.
What is the disadvantage of deductive reasoning?
This is in dating, so I'll answer it as such. The primary disadvantage of deductive reasoning is that it leads to an overall logical approach. Presuming that your reason is pure and lacks any bias or paranoia, it will distance you from emotion, which is key in a relationship. Moreover, by arbitrarily utilizing deduction, you are actively seeking to reveal something that may or may not exist. It is important, nay vital, to have trust in a relationship and, by playing detective, that trust is undermined. In fewer words, the logical mind inherently lacks faith, and that, coupled with honesty, is truly what a good relationship builds its foundation upon.
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Is the Fibonacci sequence a geometric sequence?
No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...
What is grade A math?
Well... Grade "A" Maths could mean that you had used completely solid reasoning and a minimalistic approach to the proof that you were QEDing. Or when i last did a state exam in Maths it was my "A" Levels divided into "Pure Maths". and "Applied Maths".
Compare normative deductive and inductive approaches to theory formulation which approach is more useful in theory construction?
Normative deductive approaches start with a general theory and apply it to specific cases, while inductive approaches start with observations and work towards general principles. Normative deductive approaches are more useful in theory construction as they allow for testing and refinement of theories based on observable data, whereas inductive approaches may lead to biased generalizations.
Compare normative deductive and inductive approaches to theory formulation which approach is more useful in theory construction-?
Normative deductive approach starts with a theory and uses deduction to derive hypotheses, while inductive approach starts with observations and uses induction to formulate a theory. The deductive approach is useful when researchers have a strong theoretical foundation and want to test specific hypotheses, while the inductive approach is useful when exploring new areas where little theory exists. The usefulness of each approach depends on the research question and context.
What is the difference between inductive an deductive method?
Inductive reasoning involves making general conclusions based on specific observations or evidence. Deductive reasoning starts with a general principle or hypothesis and applies it to specific cases to reach a conclusion. Inductive reasoning moves from specific to general, while deductive reasoning moves from general to specific.
What is the difference between inductive and deductive approaches to research?
Inductive research involves collecting data, identifying patterns, and developing theories based on those patterns, while deductive research starts with a hypothesis and uses data to test and confirm or reject that hypothesis. Inductive research is exploratory and generates new theories, while deductive research is confirmatory, testing existing theories.
What is deductive and Inductive approach?
direct good news message or neutral messages
Whose approach used elimination and inductive reasoning to find the cause of phenomena?
Francis Bacon
How do you use deductive approach?
Deductive reasoning is "process of elimination." The character Sherlock Holmes defines it thusly: "When you eliminate the impossible, what is left -- no matter how improbable -- must be the truth."
What is deduction and induction?
In logic, we often refer to the two broad methods of reasoning as the deductive and inductive approaches.Deductive reasoning works from the more general to the more specific. Sometimes this is informally called a "top-down" approach. We might begin with thinking up a theoryabout our topic of interest. We then narrow that down into more specifichypotheses that we can test. We narrow down even further when we collect observations to address the hypotheses. This ultimately leads us to be able to test the hypotheses with specific data -- a confirmation (or not) of our original theories.Inductive reasoning works the other way, moving from specific observations to broader generalizations and theories. Informally, we sometimes call this a "bottom up" approach (please note that it's "bottom up" and not"bottoms up" which is the kind of thing the bartender says to customers when he's trying to close for the night!). In inductive reasoning, we begin with specific observations and measures, begin to detect patterns and regularities, formulate some tentative hypotheses that we can explore, and finally end up developing some general conclusions or theories.These two methods of reasoning have a very different "feel" to them when you're conducting research. Inductive reasoning, by its very nature, is more open-ended and exploratory, especially at the beginning. Deductive reasoning is more narrow in nature and is concerned with testing or confirming hypotheses. Even though a particular study may look like it's purely deductive (e.g., an experiment designed to test the hypothesized effects of some treatment on some outcome), most social research involves both inductive and deductive reasoning processes at some time in the project. In fact, it doesn't take a rocket scientist to see that we could assemble the two graphs above into a single circular one that continually cycles from theories down to observations and back up again to theories. Even in the most constrained experiment, the researchers may observe patterns in the data that lead them to develop new theories.
What is the purpose of using the deductive approach?
The deductive approach to reasoning generally starts with a development of a theory of what an answer might be to a given problem. Then the researcher goes about his research to determine if the theory was valid. If not, then he develops a new theory based on his research and assesses it for validity. This process is often considered "top-down" since it always begins with formulation of a theory or hypothesis that is then studied for validity.
What is inductive approach in business communication?
Inductive approach is when a message withholds the major idea until accompanying details and explanations have been presented.
What is another term for deductive approach?
logical approch
What is the meaning of deductive?
Deductive theory, or deductive reasoning, is the process of starting with a broad spectrum of information and working down to a specific solution. This is often referred to as the top-down approach to reasoning.
