Introduction to Problem Solving Inductive and Deductive Reasoning

[juju.ondabeat]

Based on the video presented, my main take away in the introduction of the lesson is there are two fundamental approaches to making logical conclusions. These are the inductive and deductive reasoning. Whereas, inductive reasoning is all about drawing conclusion based from observations. While deductive reasoning is a logical approach where you progress general ideas to specific conclusions.

[nicoletteubbanag]

The key concepts that I gathered as I watched the video were:
1. Inductive reasoning is a conclusion that is based on an examination.
2. The conclusion for inductive reasoning is called theory or conjecture.
3. A counterexample is an example that contradicts a conclusion.
4. Deductive reasoning refers to premises that are assumed to be true and come up with a solution.
5. Inductive reasoning has a general conclusion that comes from specific examples, while deductive reasoning has general clues that form a specific conclusion.

One of the insights that I have gained after watching the video is that inductive reasoning is essential, especially for science and engineering students for the reason that most of them deal with experiments and experiment-based data will eventually form a theory or conjecture that is generally applicable to everything. For deductive reasoning, I have learned that general truths are only limited to the given statement. As for me, deductive reasoning really needs a logical mind to solve logic problems since it is quite complex. However, it is still fun to solve this kind of problem because it will hone your brain in terms of understanding logic.

[sophiamaygabila]

Inductive reasoning is very useful. Inductive reasoning is a method in which we can draw a conclusion from specific to the general. While in deductive reasoning it's a logical process in which refers to premises that are assumed to be true and come up with the conclusion.

[mohamadnurtula]

My main takeaway is that solving for logic puzzles is very tricky. That means we must be careful on crossing out clues so that we're always on the right path 😊

[cheskarodriguez]

A general conclusion is arrived at by inductive reasoning, which involves looking at individual cases. As you strive to develop a theory or conclusion based on particular tests, it is extremely helpful in science and engineering. Deductive reasoning is the act of drawing a conclusion from premises that are presumptively true and that lead to that conclusion.

[mma_adO]

I notice that the problems require logic and the use of techniques which are the inductive and deductive reasoning. These two would greatly help in providing answers and solutions to somehow complicated questions.

[maragamba]

My main takeaway in this lesson is that problem solving requires logic and reasoning, like analyzing the given data, looking for patterns, and connecting these ideas to arrive at a conclusion.

[kennacamisura]

Inductive reasoning involves making broad generalizations based on a limited set of observations or evidence. It also works with patterns, generalizations, and probabilistic conclusions.

[jennieenopia]

Inductive reasoning is a bottom-up approach to problem-solving. It involves drawing general conclusions from specific observations or evidence. It's often used when dealing with incomplete information. While Deductive reasoning is a top-down approach to problem-solving. It starts with a general premise or hypothesis and uses it to reach specific, logical conclusions.

[mattlouisegapasin]

Inductive reasoning is used to make generalizations or conclusions based on a set of specific observations or examples. It involves observing a pattern or trend in specific cases and then inferring a general rule or hypothesis from these observations.

[mcglnnn]

Inductive Reasoning:
This is more like looking at specific cases to form a general idea or hypothesis. It's like building a puzzle one piece at a time and making a generalization based on what you see.

Inductive reasoning deals with probability – it's likely, but not certain, that the conclusion is true based on observed evidence.

Deductive Reasoning:
It's like starting with a big general idea and narrowing it down to a specific conclusion. It's like playing detective and following a logical trail from the general to the specific.

Deductive reasoning is about certainty – if the premises are true, the conclusion must be true.

[JustineCadiente-gbsy]

Inductive reasoning is a bit tricky in which we draw a conclusion from specific tp general. However, when it comes to Deductive reasoning is the act of coming up with a conclusion from premises that are theoretically true. In general, this reasoning both requires logic and critical thinking.

[naomiiiieeeeee]

Deductive reasoning uses broad premises to arrive at specific conclusions, while inductive reasoning starts with specific premises and draws general conclusions.

[gideongallardo]

Drawing conclusions from observations or supporting evidence is the goal of inductive reasoning. It resembles making a well-informed guess. If you notice that every crow you have seen is black, for instance, you might draw the conclusion that all crows are black. In inductive reasoning, this conclusion is referred to as a theory or conjecture.
Using general principles or rules to arrive at a specific conclusion is known as deductive reasoning. It resembles moving from a broad concept to a particular case. For instance, you can infer that someone must be mortal if you are aware that all humans are mortal, and you have proof that they are.
Contrary: Inductive reasoning occasionally results in erroneous conclusions. An example that deviates from an inductively drawn conclusion is known as a counterexample. It's comparable to discovering a white crow after presuming that all crows are black. We can improve our theories and thought processes by using counter examples.

[sophiafaelnar]

Inductive reasoning draws conclusion from specific examples. The said conclusion is referred to as conjecture or theory.
Deductive reasoning draws reasoning from general observations or ideas.

[shaunjhannkingvillaceran]

• Inductive Reasoning is the process of reaching a general conclusion derived from specific examples to be able to come up with a theory.

• Counter example is an example that disproves a conjecture.
• Deductive reasoning is a process by which a conclusion is based on previously known facts.

[sojusentinel]

Based on the video, my main takeaway in the lesson introduction is that there are two basic approaches to drawing logical conclusions. Inductive and deductive reasoning are two types of reasoning. Inductive reasoning, on the other hand, is concerned with drawing conclusions based on observations. Deductive reasoning is a logical approach in which general ideas are progressed to specific conclusions.

[reymarieluyao]

The lesson's major takeaway is the differences between inductive and deductive reasoning. Inductive reasoning is crucial for making generalizations and predictions based on specific observations. It involves drawing conclusions from patterns and trends in data, allowing us to make educated assumptions about the world. On the other hand, deductive reasoning is a strategy that deduces conclusions based on logical reasoning and prior knowledge. It starts with general premises and works backward to obtain specific conclusions, often used in mathematics and formal logic. Deductive reasoning is considered more reliable and rigorous due to its reliance on established concepts and logical standards. However, it is crucial to realize that both inductive and deductive reasoning have strengths and limitations and can complement each other in specific contexts. To summarize, deductive reasoning works well in proving the validity of an argument. However, it may not develop new hypotheses or theories, while inductive reasoning is preferable for generalizations and predictions based on observed patterns or data. Combining these methodologies can provide a thorough, well-rounded approach to issue resolution and decision-making.

- Reymarie Mikaela B. Luyao (BSCE - A145)

[jesurquiza]

My key takeaway from the class introduction, which is based on the video, is that there are two fundamental methods for coming to logical conclusions. There are two different styles of reasoning: inductive and deductive. Contrarily, inductive reasoning is focused with arriving at conclusions based on observations. Deductive reasoning is a logical method that progresses from broad concepts to precise conclusions.

[hunterkirkland]

The main takeaway that I got is that by using inductive reasoning you can predict upcoming numbers and answer, indirect questions.