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etcmp
19-12-2004, 07:43 PM
I know I post a lot of stuff (sorry). I have an obsession to write...:( and talk :(.....
Anyway, I started with patterns in education:
And now I start with understanding reasoning (induction, deduction and abduction ) and its relationship to mathematics and our movements in daily life. I write this yesterday night thinking of my friend, who always tells me he isn't good in maths. So i post here..my letter to him

"Dear XX,
I remember how you told me ages ago that you went for an IQ test and scored 78 (hope my memory is not faulty here) on some scale. You also told me that you are not good in mathematics.

However, you ?unconsciously? had built different types of logical ?cause and effects? in your mind, that not most people notice of these ?cause and effects?. I thought a lot about it, how does your mind really reason? You seem to learn well in given ?contexts?. Perhaps the only reason you ?think? you are not good in mathematics, because it is normally not given in ?any? context. It is of metalevel of metalevel of thoughts. However, you can readily ?abstract:? metalevel of thoughts via observations of the ?patterns? ;cause and effects of life. This is rather interesting, so I think you are not correct to say that you are not good in mathematics, you can be good in it, you just have not explore this other type of learning ..

What I mean by you are good at deriving ?logical rules? of cause and effect is consider a few statements you have made in the past (of course forgive for slight errors in re-quoting them!).

1.Normally the smart ones are good in bed ( If A then B)
2.We work so hard and make a lot of money, then get heart attack and then die at a young age and for what? (If C then D -->..)
3.It shows that you trust me! (If G then H)
4.It's because you are always in control, so you want to lose control sometimes ( If I then J then not J iff Y)
5.Yeah it makes the seat more comfortable ( this conversation took place at the chinese restaurant when I made remark about the new BMW AI system) (C then D. E is D.)
6.But sometimes women want to be treated like a sex object ( If precondition W is fulfilled then E is true)
....
How interesting is that you are ?building? a lot of hypothesis rules in your mind, from the ?context/situations? you have experienced and coupled them to your ?observations? of what those situations/context had ?effect? you internally (emotionally and mentally) and then you had carefully ?generalize? them by ?internally? manipulating the average number of occurrences. Notice how you say ?normally..but sometimes...) which suggests that based on your multiplication of experience, you had made an average manipulation of the numbers without realizing that you had mathematically manipulated these abstract figures in your mind. In fact, most of them time, either you have performed ?abduction?; reasoning by building your own rules and looking for samples of life to fit your built rules or; ?deduction?; observing the chaining of rules from A, B to C and then making a conclusion from these chains of cause and effects:


Let me further my point and give one more argument. Notice how organized your apartment is and your work place (I assume that it is always highly organized at all times). Notice, how you cluster ?spices? together at one corner on the right side next to the stove (if this box of spices had not been removed since my last visit). Notice, how you ?segmented? the food in your refrigerator. Notice also that in your bathroom, your perfumes are also stacked on the right hand side of the bathroom. Notice all sameness to how you have organized your belongings. These are all ?effects? of the dynamism of your ?reasoning? that had transcended into ?artifacts? of how you have organized your life and behavior that others can see. It is interesting to also note, that the music of your choice, the movie of your choice, the clothes of your choice, perfume, shoes, food, decorations, words and opinions can show the influence of your past,background, environments and your genetic brain mechanism underlying that manipulates what these types of different factors had created your thinking, your behavior and your reasoning. This might be the reason why genetic mechanism contributes at least 5 % of our fundamental way of reasoning, some people's brain are wired to reason more deductively, some are not, but it does not in any relation mean that the person is incapable of doing some task, just that they have not the average brain path that others have at doing that particular task.

As a conclusion, mathematics ability is INHERIT in every human, it is the driving force of living and thinking and doings things in life. Mathematics is evident in everything that we do, only that we do not fully realize that mathematics come in different ?logical types? and some logical types are not readily obvious."

masterof_none
21-12-2004, 01:24 AM
Interesting Thought!.

This post may not synch with the previous post, but I just want to
broaden the concept of logic explained by Nik in the previos post towards the concept of learning from our environment.

I remember towards the end of our AI class, this professor gave us a brief 3 hours (well, maybe not so brief) lecture about fuzzy logic.

http://www.seattlerobotics.org/encoder/mar98/fuz/flindex.html

Basically, the idea is this : sometimes, we just believe that we aren't that good in a particular field, because our environment shape us towards that kind of thinking.
This instills confidence level, that leads to the conclusion.


From what I remember from that lecture, we grab anything relevant from environment, assign the 'degree of beliefs' , and act accordingly to what we believe in.

For example, if we believe that there's an obstacle in front us, we need to avoids it by turning to different direction.

And similarly in our lives, if we believe that we are good at drawing, we know that we'll be a good artist someday. That's why , I think , there's this Malay proverb that says : "Bapa borek anak Rintik". That's just means that since the kids growing up with his / her dad's job, later, he himself develop the necessary skills and confidence to do the same thing (or maybe better ) from what his dad's doing.

Therefore, I believe that logic reasoning is more 'automatic' than we thought, and this 'automatic' thing is influenced by the environment in which we're dealing with in our lives.

etcmp
21-12-2004, 01:54 AM
Interesting Thought!.

This post may not synch with the previous post, but I just want to
broaden the concept of logic explained by Nik in the previos post towards the concept of learning from our environment.

I remember towards the end of our AI class, this professor gave us a brief 3 hours (well, maybe not so brief) lecture about fuzzy logic.

http://www.seattlerobotics.org/encoder/mar98/fuz/flindex.html

Basically, the idea is this : sometimes, we just believe that we aren't that good in a particular field, because our environment shape us towards that kind of thinking.
This instills confidence level, that leads to the conclusion.


From what I remember from that lecture, we grab anything relevant from environment, assign the 'degree of beliefs' , and act accordingly to what we believe in.

For example, if we believe that there's an obstacle in front us, we need to avoids it by turning to different direction.

And similarly in our lives, if we believe that we are good at drawing, we know that we'll be a good artist someday. That's why , I think , there's this Malay proverb that says : "Bapa borek anak Rintik". That's just means that since the kids growing up with his / her dad's job, later, he himself develop the necessary skills and confidence to do the same thing (or maybe better ) from what his dad's doing.

Therefore, I believe that logic reasoning is more 'automatic' than we thought, and this 'automatic' thing is influenced by the environment in which we're dealing with in our lives.

Logic reasoning is what makes men rational being! I agree with ur point there!! It is correlated with my little story/letter.
What u are re-encountering there sounds a bit like reinforcement learning just a tiny bit! when we act in the environment, we also act based on desires, beliefs and intentions..so it is a complete mechanism..and this again depends "actively" on what we are actively "conceptualizing" ourselves to do...
For example, in a more goal oriented environment, we wld probably have more active states of intentions..beliefs and desires...

This is closely tied to "BDI Agents in AI" as well as to "Speech acts" theory by Searle and the indcution, deduction and abduction theory of human reasoning is introduced by pierce. as well as u can find topics discussed relevantly by bateson in steps to an ecology of mind..however the term learning here is based on rote learning and proto/deutero learning...

For example: imagine i want to confirm of a certain subject:
i can put that

I intend to inform of person X of this subject and I believe that person x is uncertain of the truth of this position and I desire this person x to believe the truth of this proposition (this is what it means by having intentions, beliefs and desires) as the mechanism of our daily actions in environments:

If u want to see the formalism , it shud briefly be like this:

FP: Bi f ^ Bi Uj f
RE: Bj f

where Bi f stands for agent i believes of that f and that agent i believes that j is uncertain of that f....

ANYWAY, those above are my theory in my phd thesis...so i am in the middle of proving them..once i finish it..i will post it on my website if ur interested to know more, i can send some publications to u!! But hey!! great to know ur also into these stuff!