Dear Alan There is nothing in your email below that I disagree with - so perhaps again it's all a matter of communication and mis-interpretation. And I too would not accept Aga's contention that nature is not qualitative, so would accept your challenge of that- but I thought the main focus of your email was in challenging his contention as to the nature of design in humans / the planet etc sometimes having inbuilt (measurable) limits. Thanks for taking the time to respond - Joan On 9 April 2010 16:14, Alan Rayner (BU) <[log in to unmask]> wrote: > Dear Joan, > > Well indeed, you are welcome, as ever, to take on as much or as little as > you like of what I offer. I can only describe what makes sense and doesn't > make sense to me, and try to help clarify my meanings if you enquire > further, as you did. My aim is to help you in your quest, not to oppose > (though I will point out what is in opposition to your quest). > Inclusionality is not based upon the logic of opposition, it endeavours to > move on from the latter. > > I'm sorry if I misunderstood what you said about the possible limitations > of your brain in relation to transfigural mathematics. > > By the same token, I did not say that the way traditional mathematics is > taught is the main root of all problems. But I do think that the > intransigent logic underlying this and all kinds of divisive political and > religious views, *if not seen through, *and kept as you say in check and > balance, can reinforce ways of thinking that lead to conflict and > opposition. The problem here is when a partial view is represented as *the > only view, *which came through loud and clear from Aga's pronouncement > that 'Nature is not qualitative', in support of his contention that > 'Absolute creativity does exist'. > > I have talked at length about the need to respect both analytical and > intuitive views, without giving preference to one or the other. > Inclusionality is about the dynmaic balance of the included middle. > > Conventional mathematics is indeed elegant. That doesn't put it in a > position to claim to represent 'the whole truth'. Moreover, there is a > fundamental problem in its foundations that needs to be addressed if it is > to be more naturally representative, especially within an evolutionary > context. > > The spiritual hunger (and I might also speak of the soulful hunger) of > which you speak is not well served by a logic that imposes definitive > closure upon self-identity, and that is reinforced in the many ways that I > have tried to address, including mathematical abstraction. > > I think I have said enough. > > > Warmest > > Alan > > > > > ----- Original Message ----- > *From:* Joan Walton <[log in to unmask]> > *To:* [log in to unmask] > *Sent:* Friday, April 09, 2010 3:11 PM > *Subject:* Re: Loving Neighbourhood As Self > > Dear Alan > > Thank you very much for your response - it is indeed interesting, and helps > me further understand your perspective. However, somewhat predictably of > course, I do not necessarily agree with it all - though we are clearly both > committed to the notion of 'loving neighbour(hood) as self' - and as long as > we both appreciate that in the other, then that (in my view) should help to > keep us connected rather than separate in our communication. > > There are a number of points in your email that I would perhaps like to > challenge, or perhaps just further discuss - but I will just stay with one > at the moment - the one that hit me most strongly when I read it (which may > of course mean it is touching a raw nerve which I need to explore more..). > And that is, your apparent assumption that my earlier response to you was > generated by a fear of mathematics. In fact, that is not the case. I have > naturally a very logical mind (which in may ways I can see might be > interpreted as part of the problem!) - and I actually had a natural > gravitation and attraction to maths at school (and for a short time at > university). I have often thought that in my final 'retirement', I might do > a mathematics degree as a contrast to other interests, and an alternative to > an extended chain of cryptic crosswords!! I really cannot understand the > point of view that the way traditional maths is taught is the main root of > all problems, its methodology leading to conflict, etc. I have had far more > difficulty with divisiveness created through different religious/political > views,etc. I do understand that being too logical can be a difficulty (I > was accused of being too logical when I was younger, and have spent a > lifetime trying to ensure that I at least counterbalance it with other more > empathic qualities). But that is how I perceive it - something to be kept a > check on, kept in balance - rather than being seen as a 'sin' in itself, and > possibly the root of all other sins. I have heard a Professor of > Mathematics talk about maths as 'elegant' and I really can understand that > point of view. > > Similarly, I couldn't see what the problem was with Aga's email - I realise > that it only represents one perspective and an incomplete one at that - but > I really cannot see how it can be viewed as part of the mindset that is > responsible for making it difficult to 'loving neighbourhood as self'. Our > rational powers are an important dimension of our 'all' - I believe - as are > our emotional, spiritual etc etc ..... The challenge for me is how to > enable them all to work in partnership with each other, to the benefit of > the infinite whole, rather than vilifying any one more than another . ...... > > Oddly enough, shortly before receiving your email, I was searching Google > for a conference held some time ago that was based on the notion of > 'addiction as a sympton of spiritual hunger' - an idea that seemed to ring > true to me as soon as I read it, and which I have reflected on at some > length since - so perhaps I would offer that as an alternative possible > reason for addiction/attachment/mental illness..... > > I'm sorry, Alan - I realise our perspectives are very diverse, and you > think that I am failing to understand something that is critically > important.... And perhaps I am, I acknowledge that ..... But if I am to > stay true to my own principle of 'being true to self', I have to say that > try as I do, I accept fundemental aspects of your thinking (and as I have > said before, I think at some level, we have much in common) - but I do > struggle with some of the conclusions you draw. > > Best wishes, > > Joan > > > On 9 April 2010 08:55, Alan Rayner (BU) <[log in to unmask]> wrote: > >> Dear Joan, >> >> Thank you (and Vicente) for this important and very relevant enquiry. >> >> Your question of 'why is it so difficult to put the principle of 'loving >> neighbour (which I extend inclusionally to neighbourhood) as self' is >> precisely what my work on natural inclusionality over the last 10 years has >> been about. >> >> It is a question that I have reflected on in some depth in the attached >> draft paper prepared in anticipation of my keynote address to ALARA in >> Australia later this year. (I hope the file is not too big for some of you - >> apologies if it is). >> >> In the paper, I recognise four kinds of barrier to 'loving neighbourhood >> as self', all of which are powerfully re-inforced by current education >> systems throughout the world: mathematical, cognitive, fearful and >> linguistic. In other words we predominantly teach the antithesis of 'loving >> neighbour(hood) as self' as the very basis of objective rationality. In >> effect, we teach children that we are born selfish, that compassion is >> irrational and that they must compete with one another to be successful, at >> the same time as telling them them they will be punished for their >> wickedness if they are selfish. This double bind is a source of profound >> confusion, conflict, guilt and shame - from which many try to escape through >> various kinds of addiction/attachment/mental illness. >> >> The mathematical barrier is especially problematic, because of the >> oppressive and uncreative way in which mathematics is predominantly taught >> to children, which leaves them with no room for question or doubt - they are >> marked 'right' or 'wrong' and told not to ask 'why'. If they don't >> understand (often because they can see through the inbuilt paradox that >> arises from treating 1 as a singular whole number or lifeless point) they >> get marked down and made to feel stupid (to have 'learning difficulties'). >> They are never or rarely introduced to Godel's theorem, which ended the >> search by mathematicians for a complete and self-consistent system (a system >> of 'wholeness') and sparked Lere's development of transfigural mathematics. >> >> As your response affirms, the very mention of mathematics sparks fear in >> the minds of many, which allows it to continue to divide and rule as the >> tool of an oppressive culture caught in the rationalistic trap of trying to >> discriminate between individual and group (One and Many). When not 'seen >> through' ('transfigured'), mathematics becomes the tool of the bully and the >> means to a totalitarian end (most recently enshrined in 'selfish gene >> theory, game theory and sociobiology) that blocks natural evolutionary >> creativity, love and compassion. I think there is a great educationAL need >> to dispel the fear of mathematics and understand both its limitations and >> utility in a more sensible way. This is why I think Lere's work is so >> important. At a fundamental level it is very easy to understand - * >> childsplay* in fact - but what is needed here is not 'cleverness' or >> 'higher consciousness' or 'grand theory', but *'insight'* (of the kind >> that underlies the principle of 'loving neighbour(hood) as self and can >> stand up to the bully of prejudicial theory by calling its bluff). >> >> Numbers games are perhaps an even greater instrument of tyranny and >> confusion than language games.... Those of us who are keen on spreading the >> influence living educational theory need to get to grips with it (or at >> least understand its source of power) - which takes some intellectual >> courage. >> >> >> *“The attempt to impose definition on indeterminacy and degree and >> exception is about the straightest road to mischief I know of - very deeply >> worn, very well travelled” **Marilynne Robinson**, **The Death of Adam: >> Essays on Modern Thought* >> >> >> I do hope this helps. >> >> >> Warmest >> >> Alan >> >> NB I am copying this to Lere as he is not a member of the list (he asked >> me to forward his response to Aga's message after I had shown the latter to >> him and Roy Reynolds). >> >> >> >> >> ----- Original Message ----- >> *From:* Joan Walton <[log in to unmask]> >> *To:* [log in to unmask] >> *Sent:* Thursday, April 08, 2010 8:28 PM >> *Subject:* Re: Fw: Design as Research / Absolute Creativity >> >> Dear Aga, Alan and Lere, >> >> I have found most of this dialogue fascinating, informing and enriching - >> and in the main I understand and resonate with what has been said. But I >> have to say I have read the past 3 emails, and I am not sure where they are >> taking us. For a start, I don't understand much of them. I am not a >> scientist, so it is difficult for me to comment on the accuracy or even the >> relevance of what Aga wrote - except I do know, for example, that I cannot >> run 100 mph, however much I would wish to, and so accept that there are >> limits to what our 'design' allows us to do. Indeed, I have often thought >> that actually our brains are far too limited to understand 'all that is' - >> and that it is a sign of the complete arrogance of the human ego to think >> that somehow we have the capacity to develop a 'theory of everything'. I >> suspect that we have not even entered primary level in terms of having a >> true rational understanding of 'all that is' (which for me would include >> dimensions beyond what we experience with our five senses). Perhaps as we >> continue with an 'evolution of consiousness' we will over time develop our >> capacity to rationally understand (if that is indeed desirable), but I would >> think we have a considerable way to go yet. Which is why I am so committed >> to action research and living theory - because they are about making a >> difference in our lives on a day to day level, without neceesarily having to >> locate them within a 'grand theory' (athough I know that I am also always >> interested in exploring what we do in as wide a context as possible). >> >> In this context, not wanting to disrespect what you are doing at all, >> Lere, because I am quite sure that intellectually you are involved in work >> that has great significance - but I am not sure what transfigural >> mathematics has to offer us in our current state of global crisis. Even if >> it has the potential to create understanding that would help us all, I am >> not sure that I have the intellectual capacity to take it in given the >> limitations of my brain. And if I experience that problem, then I think it >> is perhaps too much to hope that the wider population will in time to avert >> any crisis. >> >> In terms of action that would make so much difference - The new testament >> states, and it is reflected very similarly in most/all the worlds >> religious/spiritual traditions, 'love your neighbour as yourself'', and ''do >> unto others as you would have them do unto you'. These are not difficult >> words to understand - yet there appears to be so much difficulty in putting >> them into practice (and if this is so difficult, how much more difficutl >> would it be to put into practice the principles of transfigural >> mathematics?). You yourself talk about the importance of love throughout >> your email. I have been challenged all my life as to why these apparently >> simple principles, with apparently mutually beneficial outcomes for >> everyone, are so difficult to put into practice. >> >> I have recently written down my vision for the world - and it came out as >> follows: "My vision for the world is for no child on the planet to >> experience distress and suffering as a result of poverty, neglect, abuse or >> exploitation; and for every child on the planet to be given the >> opportunity and support that enables their unique gifts and talents to >> blossom and flourish". My question is - why is this so difficult to >> achieve? My 'idealistic' response it - let's influence every living being >> to develop their own 'living educational theory' - that will surely address >> these challanges - but I do accept that this is not currently realistic >> ...... But I can see how it would have a positive outcome if it were to >> happen..... >> >> Of course, there are many explanations as as to why it is so difficult for >> people to adopt and live out any value base which is founded on mutual >> respect, love, care, etc. - including psychological theories on 'will to >> power' and the overwhelming desire of the individual ego to impose its >> thoughts and wishes on others. However, if you can explain to me >> transfigural mathematics in a way that will enable me to understand how it >> can realistically influence people to 'do unto others....' , and how it will >> transform their approach to children, etc, in a way that no other >> methodology can, and can overcome the well-demonstrated psychological blocks >> to engaging in appropriate behaviour, then I might be in a position to >> respond more positively to your and Alan's response to Aga's email. >> >> Thank you and best wishes, >> >> Joan >> >> On 8 April 2010 19:23, Alan Rayner (BU) <[log in to unmask]> wrote: >> >>> >>> Dear Aga, >>> >>> I have read Alan's reply to your letter. Oh, I have to hold my heart as I >>> read what you wrote. It is the parotting of the old tune that lacks rhythm >>> and sense. But wait! Tarry with patience. >>> >>> Well, maybe what one can say is that even in law, the facts win the case >>> and these facts that mostly win have nothing to do with the truth. There was >>> also a biblical example of such a case that I shall not go into now but what >>> is true is that the numbers you are reeling out have nothing to do with the >>> true identity of things. This is not to say that these numbers havent their >>> uses but the reality is that they and the science that is built on them have >>> nothing to do with Nature. >>> >>> It is QUALITY, first and foremost, that holds all together and NOT >>> QUANTITY. It is love in life and life in love that ensure that we are still >>> here, that we can live harmoniously with one another, with animals, birds, >>> do not pollute nature, take care of the weak, feel with the disabled and >>> being in them and them in us, feel all of Nauture in us to the Divine. You >>> cant quantify love nor what it means to be life as the person lives and >>> experiences it. You cant quantify the smile of the child that is flashed on >>> the mother-hen coo-cooing with the chicks. You cant even quantify human >>> suffering which only love can alleviate. And so what is this inanity about >>> quantity to which million lives matter than a single life which is the >>> carrier of all of humanity. Quality mathematics which is transfigural >>> mathematics with minimal quantity would say take care of one and you have >>> taken care of all because one is in all and all is in one. Quantity is >>> concerned with how many. Quality is about how much, how deep, and because >>> the one is in many, to abuse one is to abuse the entire humanity, nature >>> inclusive. Can you see the difference? >>> >>> Well, let the history of human suffering and hope put quantity in the >>> dock as we wait for the verdict. But we cannot do that because to wait would >>> be to surrender this world that is yours, mine and everybody to what we know >>> holds no hope, no future. And so, we say, give us the numbers that can >>> suffer as we do, that can hope as we do, that have capacity for love, that >>> shows the beauty of diversity, indeed give us the mathematics of such >>> numbers, such logic, such geometry, such philosophy and through it, such a >>> science, indeed such body of knowledge and spiritual awareness. The answer >>> we got is transfigural mathematics. The link which Alan gives is inviting >>> you. >>> >>> With Warm Regards, >>> Lere >>> >>> >>> >>> >> > > > -- > Dr Joan Walton > Faculty of Education > Liverpool Hope University > Hope Park > Liverpool > L16 9JD > > Phone: 0151 291 2115 > Email: [log in to unmask] > >