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Can Postulates be used to prove theorems?
No, because postulates are assumptions. Some true, some not. Proving a Theorem requires facts in a logical order to do so.
How does an indirect proof differ from a regular proof?
Given a proposition X, a regular proof known facts and logical arguments to show that X must be true. For an indirect proof, you assume that the negation of X is true. You then use known facts and logical arguments to show that this leads to a contradiction. The conclusion then is that the assumption about ~X being true is false and that is equivalent to showing that X is true.
Where can I find multiplication facts and tables?
You can head on over to mathsisfun.com/tables. They give out a lot of valuable information regarding math facts and tables. You can also head on over to math.about.com, they also give out a lot of valuable information.
What does performing statistical analysis mean?
This is the act of assessing statistics ( information, facts and figures ) and then analysing the information to identify patterns or trends.
What is the difference between logical and practical?
First of all, I will attempt to explain what logic or "logical" means. I'm assuming that the reason you are looking this up is because you don't know the definition of logical or practical. Perhaps, you don't know the definition to either of them. So, it makes sense to explain them both not just by definition but in a way that makes sense to everyone... well... hopefully. Things that make sense are logical. Data or information that is backed by factual evidence and that follow true reasoning are logical. If someone didn't know what "logical" meant then I would explain it by simply telling them that things happen for a reason. Things tick and are the way that they are for a certain reason. This "certain reasoning" or "fact" is logic or "logical." It would be logical for someone to think that if a person gets hit with a baseball they are going to feel it. Why is it logical? It is logical because 99.9% of humans feel pain. Unless you have some kind of medical reason as to why you don't feel pain, most people feel pain. So based on the fact that everybody feels pain, it is therefore "logical" that if you get hit by a baseball, you are going to feel it (and it's probably going to hurt). It wouldn't be logical to say that a person won't feel the baseball at all if it hit him/her in the leg traveling 90 miles per hour because every human (for the most part) feels pain. It is fact that all people feel pain therefore if you get hit by a baseball; you're going to feel it no matter what. Logical evidence is pretty much the same thing as factual evidence. Things that are backed by "facts" are also backed by "logic" until disproven. Another example of something logical is the fact that colors white and red make the color "pink" if mixed together. It wouldn't be a logical assumption to say that mixing white and red together create the color green. That wouldn't make any sense at all. So, basically logic is simply why everything ticks the way that it does proven by facts. Hopefully I explained what logical and logic mean to a way that you can understand it. Now I will attempt to explain what practical means. Practical is in the same ballpark as logic. They both intertwine each other, but there is a difference between them. I will use the baseball example again to try to explain "practical". Being practical to me is basically just having good judgment. As I said above that if you get hit by a baseball you are going to feel it no matter what because humans feel pain. This is only logical. Well, a practical stance would be to say that the baseball is going to hurt once a person gets hit by it. Practical and logical are very close in terms but practical involves more common sense while being logical involves cold hard facts. As I said above the logic involves facts, being practical just involves good judgment and common sense. By using "good judgment", a person can assume that if you get hit by a baseball traveling 90 miles per hour that it is most certainly going to inflict an ideal amount of pain. In other words, it's going to hurt quite a bit. A person may not have to go to the hospital afterwards, but they are definitely not going to just shrug it off in 2 seconds either (practical). It would be practical to assume that the person is going to have a bruise the next day in the area that they got hit with the baseball. As for the difference between logical and practical, I hope I explained it well. It is concluded that both logical and practical can both be linked together; there are logical sides to things just as there are practical sides to things and situations. Another good example of practical: Let's say that someone built a home designed to withstand a tornado. It would be practical to assume that a home of this magnitude should stay intact if hit by a tornado. It would also be good judgment to say that some form of the home had to be altered somehow by the tornado whether true or not. "It would also be good judgment to say that some form of the home had to be altered somehow by the tornado whether true or not." - This sentence is a perfect example that includes both logical and practical use. The practical side is the fact that a person is using good judgment stating that the home had to be altered some way because it is being hit by a tornado. The logical side of this statement would be whether this is true or not. Logic uses facts to support arguments, while a practical application uses common sense and good judgment to support arguments. A good philosophical individual uses a lot of practical application to support logical aspects. I would also like to include that it would not be a logical statement to say that someone is enduring excruciating pain after getting hit by a baseball. This would be a practical assumption, not a logical assumption. Why would this not be a logical assumption? It is not a logical assumption because there is a possibility that the person is not enduring an excruciating amount of pain. This is where practical and logical are different. Remember that logic has to be supported by 100% facts and practical is merely an incredibly good assumption or good judgment (usually, but not always common sense). As I stated above, logical and practical stances are used depending on the situation. They are both used in different situations and with different information. Depending on certain issues or mysteries that need to be solved, both logical and practical stances can be put to use. Sometimes a logical standpoint would simply not work in certain situations because certain information is unknown or certain facts are not obtained. Practical standpoints (on the flip side) are used when facts are unknown and/or certain information is uncertain. Practical uses calls for good judgment, great predictions, and using common sense. I'll give some examples of some situations below and you decide whether or not be practical or logical in order to figure the situation out. I'll have the answers posted below the questions, so don't scroll down until you have chosen the answers yourself. 1) Does my car need gas to run? (practical or logical answer?) 2) Why did that person just run out of that house wearing a black ski mask? 3) My best friends wedding is tomorrow. Do you think there is going to be a party afterwards? 1) Yes, all vehicles need gas for the most part. Logical 2) I don't know, if I had to guess I'd say he was trying to steal something or commit some type of crime. Practical 3) Considering that it is a wedding, there is usually some kind of party afterwards. Practical
The logical progression of facts or information is called transition true or false?
False!!!
The logical progression of ideas or facts is known as?
The Dialectic Process
What is logical inference?
It is the process by which new facts are derived from known facts
What is a logical inference?
It is the process by which new facts are derived from known facts
What is a 'logical perspective'?
A logical perspective refers to a way of thinking or reasoning that is based on sound logic and reasoning principles. It involves examining information or situations objectively, considering evidence and facts, and drawing conclusions using logical processes. This approach is focused on making decisions or judgments in a rational and coherent manner.
What is a logical interpretation based on observation?
A logical interpretation based on observation is a conclusion drawn from facts or evidence that aligns with reasoning and common sense. It relies on the information gathered through observation to draw a valid and sound conclusion that is supported by a logical process of thinking.
What is information that is accepted in the absence of facts called?
Assumption
When scientists perform experiments they facts and information called?
research or background information
What is the key to all arguments?
The key to all arguments is having logical information and facts. This will make it easier to present your case in opposition or in favor of the argument.
Logical reasoning bases conclusions on?
Facts or ideas to make a point
What are new facts entered into the computer called?
information recievers
What is information that is accepted as true in the absence of facts called?
Assumption
