Re: At What Point Do Poythress’ Concerns Matter

2008 February 20

Since we can’t interface the two examples perfectly, so I don’t think applying equal time to both situations is appropriate.

I still think the time difference, and the relation of time to personal formation, makes it a relevant difference. Do you think that watching an hour of TV a day (for 5 days a week, 10 months a year, for twelve years, etc.), even though it takes far less effort than learning math, or even having a conversation with a friend about television, would have a small effect on someone’s belief system? (Edit: I had forgotten where this line of thought came from when I wrote this response; to add a bit, I’d ask: if one were to watch that much TV, and God was never mentioned, would God be thought of as more or less relevant to life than if one had instead watched Christian movies or something similar?)

Computers perform operations, and they have no spiritual capacity, no conscience, no sapience, etc.

Computers do not use concepts or words like people do (as in, “addition”); they are just circuit boards with electricity running through them, projecting light onto a screen so we can see what the effects of that electricity is. There is no understanding of function or of meaning, if you distinguish those things; there is no understanding it all. It’s just clockwork.

But I think one would be hard pressed to prove that a certain spiritual meaning is required for function.

What does required mean, though? And what does “spiritual” mean?

But the electrical impulses being sent and the processing that takes place is entirely unknown to me, and is irrelevant — my awareness of these frameworks do not modify my ability to press the @ key and have an @ show up on screen.

But your understanding of the meaning of the ink-mark @ on a piece of plastic set in a larger, rectangular piece of plastic, linked by a wire to a metal box, does affect your ability to do so.

In the same way, I can perform functions on numbers — very much in the way a computer does — without awareness of what principles might make operations possible, even though they are at work in me or enabling me.

As I mentioned above, I think its highly misleading to speak of computers as if they are aware of the use of anything. And you do need to know what the meaning of “+” or “2″ is, to be able to do any functions with those concepts.

For the sake of interest, practically, what does a Faith based math education look like? What is the Biblical significance of 2+2=4?

I think Poythress’ article would give you a better answer than I ever could there.

While I was thinking about this issue over the weekend, I had another thought which I think will make my original point more clear.

Consider this: what would happen if, based on your position that the relevance of God to mathematics is so low that it is virtually insignificant in elementary through secondary school, you suggested to the local public school board that you incorporate Poythress’ insight that mathematics makes no sense except in a theistic universe. Do you think their answer would be: “Well, since God’s relevance is so slight to math, it won’t harm our children to teach them this. We could mention it only very rarely and it would therefore have no impact, and we could still make sure our children turned out as good secularist democrats.”? I doubt that very much. Not for one second would they allow God’s relevance to math to enter the classroom, and I suggest that’s because they would recognize it’s not insignificant to the education and formation of children and young adults. Even one lesson showing how math relates to God would be too much, I suspect.

4 Responses leave one →
  1. 2008 February 20

    Upfront: sorry if I’m exacerbating you or if you feel like this is dragging on. It’s interesting to me, but I don’t want to monopolize your precious blogging minutes!

    I still think the time difference, and the relation of time to personal formation, makes it a relevant difference. Do you think that watching an hour of TV a day (for 5 days a week, 10 months a year, for twelve years, etc.), even though it takes far less effort than learning math, or even having a conversation with a friend about television, would have a small effect on someone’s belief system?

    Well, we’re dealing with function, right? So watching TV that much would lead to the function of… having a solid grip on a society. Perhaps learning about image composition.

    So what if you were never told that the TV shows were filmed with Panasonic DVX100’s, or that that scene in Fiji was actually filmed in Hawaii. Or that the station owner has a coke addiction.

    We can’t manipulate the analogy away from what it’s purpose was. Of course watching TV that much will make an impact on a belief system for all the same reasons that I cited in my agreement with you that something like History would very much benefit from Christian guidance.

    Is that commercial of scantily clad women telling me females exist for my titillation alone? Yes. Does 2+2=4 have me convinced that taking the Lord’s name is vain is acceptable? That premarital sex is kosher? That God is a woman? No.

    I just don’t feel this example respects the content of the analogy without stretching.

    Computers do not use concepts or words like people do (as in, “addition”); they are just circuit boards with electricity running through them…It’s just clockwork.

    Exactly. They carry out function, completely in the absence of understanding; in the absence of concepts, meta-narratives, beliefs, or any other Mind related categories.

    This is my point. Mathematic function can be executed in a spiritual vacuum and be no less true, and no less “math.” It is unto itself, in a way.

    But I think one would be hard pressed to prove that a certain spiritual meaning is required for function.

    What does required mean, though? And what does “spiritual” mean?

    Spiritual in this context: the confession and belief in a Triune God, of which the Son, Christ, has secured the salvation of mankind through the purging of sin through death on a cross, and resurrection.

    Required means a prerequisite for correct function, significant function, purposeful function, or any function at all.

    But your understanding of the meaning of the ink-mark @ on a piece of plastic set in a larger, rectangular piece of plastic, linked by a wire to a metal box, does affect your ability to do so.

    Right. This I alluded to. But understanding the mechanisms of operation, the components of function in the manipulation of numbers, is very different than understanding of the abstract principals that allow for operation and give ontological grounding for possibility.

    As I mentioned above, I think its highly misleading to speak of computers as if they are aware of the use of anything. And you do need to know what the meaning of “+” or “2″ is, to be able to do any functions with those concepts.

    I made it clear that they are not, and that’s why their ability to do math is so appealing in this discussion

    Not for one second would they allow God’s relevance to math to enter the classroom, and I suggest that’s because they would recognize it’s not insignificant to the education and formation of children and young adults. Even one lesson showing how math relates to God would be too much, I suspect.

    I agree 100% for a different reason: the mere mention of God, and the advocation of Biblical contents as truth itself is transforming whether taught in math class, gym class, or as bathroom stall graffiti. But this doesn’t really prove that teach God in class is modifying and enhancing a student’s ability to do math. It’s just a testament to the power of God’s message, and that it can sow seeds even in a math class.

  2. 2008 February 20

    Opps. Stupid tags.

    That last paragraph is not a quote. Sorry.

  3. 2008 February 20

    “I just don’t feel this example respects the content of the analogy without stretching.”

    It seems to me that this issue is tying in with the issue about function vs. significance, so I’ll just let it drop on that understanding.

    “Exactly. They carry out function, completely in the absence of understanding; in the absence of concepts, meta-narratives, beliefs, or any other Mind related categories.

    This is my point. Mathematic function can be executed in a spiritual vacuum and be no less true, and no less “math.” It is unto itself, in a way.”

    But computers don’t carry out functions in the way humans do, as you have noted. Even the most basic mathematical tasks a person can do require understanding the meaning of signs and principles, whereas a computer understands nothing at all.

    “But I think one would be hard pressed to prove that a certain spiritual meaning is required for function.”

    Well, whether it requires a belief in the atonement of Christ, for example, really brings up a lot of issues, but I think it would be easier to claim that it requires belief in personal transcendent being who created us to understand math. Now, once that’s in place, I think for various reasons (some historical, some other) that the Christian God is that God, and thus in that sense I think that sense it would “require” the whole of Christian doctrine. But again, this gets into a whole lot of other issues which I don’t have much energy for at the moment.

    “Required means a prerequisite for correct function, significant function, purposeful function, or any function at all.”

    Well, if you take a monistic view of the universe, ala some Eastern views, then 2+2=4 makes no sense, since 2 and 4 are not distinct at all. So yes, I think certain religious views are prerequisites for the basic functioning of math. The fact that those kinds of Hindus can add 2+2 and get 4 does not mean their philosophical system does not make nonsense of that equation, it just means they’re (fortunately) inconsistent on this matter.

    Again, if function is equivalent to meaning or significance (and I still don’t see a reason not to say this; if you’ve given one and I’ve missed it, by all means please give it again), and all things are related (and especially and significantly related to God), I don’t see how everything’s significance is not thereby affected (even mathematical equations). There is no distinction between knowing the function of the symbol “2″ and knowing the meaning of “2″, and for that reason knowing “2″’s relation to God means knowing something about its significance, and therefore function.

  4. 2008 February 20

    A-1) you believe in the Christian God

    A-2) you believe all things are related especially and significantly to God

    A-3) you believe this includes math, thus, numbers

    A-4) you believe numbers have function and that
    function is tantamount to meaning

    A-5) “2″ is a number

    A) You believe “2″ has a meaning

    B-1) you believe you are one of Christ’s children

    B-2) you believe Christ speaks to His children and they hear His voice

    B-3) you believe we can teach others about God in a meaningful way — this includes his influence in all areas of human study such as mathematics (seen in A-2)

    B-4) you believe it is our God assigned responsibility to do so

    B-5) God is self-consistent and so must enable us to so accord with assigned responsibility

    B) You understand the meaning of numbers

    A+B = you understand the meaning of 2

    well?

    * * * * *

    I have more responses to your other comments (which are all really quite good), but I thought we’d just cut to the quick and deal with the practicals. How does this bear out? Can it even move from the theoretical to the practical, and if so, how?

    Thanks for indulging me Andrew!

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