Saturday, October 28, 2023
In flagrante morte
Friday, October 23, 2020
A little something for Halloween
Tuesday, November 20, 2018
Wednesday, August 08, 2018
Episcopal Stresses
I am saddened to hear that my bishop, the Rt Rev Damien Mead, has been under the weather again, and provide a little light relief for him in the form of one of my substandard attempts at cartoonery in the hope that he will feel better soon.
I am sure he would appreciate your prayers and support.
Tuesday, August 01, 2017
Fresh fruit?
Sorry. While preparing my sermon for this coming Sunday, this wonderful little clip from Spike Milligan popped into my head. Wonderfully silly and, for me, a wonderful antidote to the humour which seeks to destroy humanity by glorifying that which is base and demonising that which dear to people. This is joy!
Friday, December 30, 2016
The last lesson (until the next one)
I’m taking a break from teaching mathematics for a while, so I thought I would just have one last gasp with some irritations from Facebook and try and convince people that these are just silly things that arise from playing fast and loose with the grammar of mathematics.
What is 5+3×2?
There are many people who believe that the answer to this problem is 16: 5+3=8 and 8×2=16. Yet, this is wrong and many a Facebook page has been curdled by disagreements about what the answer should be. Mathematics has its own grammar that comes from its understanding of structure. The structure of how numbers interact is properly called algebra. People may think that this is just using letters to stand for numbers, but the actual study of how the numbers combine and reduce is really what we mean by algebra.
What does a mathematician make of 5+3×2? Well, to see my point, let’s rephrase it in English. What are five and three lots of two? Still not sure? Try reading that sentence again, but leave a little pause after the five. What are five(,) and three lots of two? Well, three lots of two are six, and five more makes eleven. This is the correct answer. The mathematical grammar says that you must do multiplication before addition. We have to understand what three lots of two are before we add the five.
Now, let’s try reading that sentence another way. Put the pause between the “three” and the “lots”. What are five and three(,) lots of two? Ah! Now you’re asking a different question. Five and three are eight, and two lots of eight are sixteen. We’re doing the addition first. The way that a mathematician would write this is (5+3)×2, bracketing off the bit we do first.
I’ve seen some bizarre answers to things like: 1+1+1+1+1+1+1+1+1+1+1×0+1=? But apply the mathematical grammar, do the multiplication first: 1×0=0. So we now have:
1+1+1+1+1+1+1+1+1+1+1×0+1=1+1+1+1+1+1+1+1+1+1+0+1=11.
I suspect that many people might have thought the answer to be 1, but that would be the answer to:
(1+1+1+1+1+1+1+1+1+1+1)×0+1=11×0+1=1.
There are some genuine mathematical ambiguities out there. What about 1-1+1=?
Is that 1-(1+1)=-1?
No. Otherwise we’d put the bracket in to show that we are adding the 1 and 1 together first. We have to understand this as a credit of £1 plus a debt of £1 plus a credit of £1 is £1. This is why the old acronym of BIDMAS (or BODMAS or BEDMAS if you’re of an age) sometimes tricks us into getting the answer wrong. BIDMAS gives the order of operations: Brackets, Indices (Orders or Exponents), Division, Multiplication, Addition, Subtraction.
However, we see that this is a bit vague when it comes to the order of addition and subtraction. We have to see subtracting as adding a negative.
A truly ambiguous mathematical question is 6÷2(1+2). Clearly, as mathematicians, we should do the brackets first.
6÷2(1+2)= 6÷2×3.
Strict BIDMAS would now say do 6÷2=3, and thus 3×3=9.
However, what is not completely clear is whether it is intended for six scones to be shared between two families each of one and two people (Johnny and his parents, Dorothy and her parents), or if we’re trying to find out the number of eggs needed when bumping a recipe for an omelette for two people that requires six eggs up to an omelette for Johnny and his parents. If it is the former, then each person gets one scone each. If it is the latter, then nine eggs are needed.
So ambiguous statements do exist in mathematics if we are not careful. We could make that last calculation a little easier if we write:
(6÷2)(1+2)=9 or 6÷[2(1+2)]=1
Of course, strings of numbers and calculations are all rather fun to play about with, like word games which reveal much about our language. It’s making sure that we do the correct calculation when it counts.
Sunday, June 28, 2009
Friday, February 15, 2008
Does Christianity disprove the MBTI?
What is the Lord's personality type?
After all, He is fully human. If He is fully human then He must have a personality type. If He has a personality type then there must be one personailty type that is better than others, that has a pre-eminence amongst personality types, that is the one that must be adhered to if we are to follow Him. Can we believe that (roughly) one sixteenth of the world's population has a head start in being closer to God because they all share the same personality attributes?
Okay, this may seem a little petty. Christ was male; one half of the world's population is male; does that make men preferable to women? Well, I might believe, being a member of the Catholic Church, that women cannot be ordained but that doesn't mean that I hold the idea that women are in anyway inferior in their humanity to men.
Christ was Jewish, but that doesn't mean that the Jewish people are in any way superior (or inferior for that matter) to others. Christ probably had a beard (unless the earliest Icons of a beardless Christ are accurate), so does that mean that the hirsute are preferred?
We are not saved by anything other than the love of God which is utterly disinterested in who we are. However, the question is interesting because we are to respond to God's love in order to open ourselves to become more like God. If Christ has a personality type according to Jung, then this shows monothelitism cannot be correct, since this would mean that God Himself has a specific personality type which is describable in Human terms.
So the MBTI, if correct, has its uses in refuting 7th century heresies. However, it still rankles with me that there should be a personality type more capable of perfection than another. Describing a personality is more defining of an individual than a specifying race/sex/hairiness. This begs the question, are we human beings defined as individuals by our personalities?
If we are then MBTI shows that there is a better personality to have because it is empirically capable of producing a perfect human personality. If there is no best MBTI, then we would need sixteen perfect humans to demonstrate to a recalcitrant humanity how each of us is to live.
MBTI exists by comparing one human being with another and measuring just a few aspects of how their personality interacts with the world around. However, Christ tells us to deny self, to deny the pursuit of self-discovery as a means to realise one's being in a transient and faddish world, but rather to seek our true being and self-knowledge in the service of God.
Thursday, December 27, 2007
Catholic Cartoonery
I've already used this cartoon at my church. Considering that, at Midnight Mass, instead of the intercessions we had a poem about Father Christmas praying for help delivering the presents, I think it's applicable to both the Liberal wing of the Roman Catholic Church and the present mush of the C of E.
Wednesday, December 05, 2007
Personal Patristics
Which Church Father are you?

You’re St. Melito of Sardis! You have a great love of history and liturgy. You’re attached to the traditions of the ancients, yet you recognize that the old world — great as it was — is passing away. You are loyal to the customs of your family, though you do not hesitate to call family members to account for their sins. Find out which Church Father you are at The Way of the Fathers! |
Of course, I am(!) How silly of me!
Saturday, August 18, 2007
Thursday, November 30, 2006
Guess the modern "worship" song
V. Gradatim super Orbem progredior.
R. Gradatim super Orbem progredior.
V. Tene me, ut ab veteribus ad novos tecum ambulem.
R. Tene me, ut ab veteribus ad novos tecum ambulem.
V. Per angulam Orbis circumvenio.
Orbem amplius ampliusque cognosco.
Dum nova video,
haec mecum adspices.
R. Tene me, ut ab veteribus ad novos tecum ambulem.
V. Dum per bona et mala eam,
me in via recta teneas.
Si non viam eundam videam
sciam te viam mihi ostendere.
R. Tene me, ut ab veteribus ad novos tecum ambulem.
V. Da mihi fortitudinem in asperitatem orbis.
Fac me amandum esse quamquam Orbs durus est;
saltem cantemque in omnia facta mea.
Tene me, ut tecum ambulem.
R. Tene me, ut ab veteribus ad novos tecum ambulem.
V. Plus vetus quam orbem es,
Plus juvenis quam vitam meam.
Vetus semper semperque novus
Tene me, ut tecum ambulem.
R. Tene me, ut ab veteribus ad novos tecum ambulem.
Saturday, September 09, 2006
Ye Modern Muficke Sonnge
I have written music to go with it. The verses are a parody of the well-known "song" Shine, Jesus, Shine. The chorus is an ornamented version of Purcell's hymn tune "Westminster Abbey." Feel free to use your own imagination!
1. Music’s gone through different phases,
Odd adjustments and various crazes.
Yet what I find really perturbing,
Perplexing, alarming, and rather disturbing:
Modern Hymns,
Modern Hymns!
Chorus:
Praises To the English Hymnal,
Solid and stable as a rock.
Never wrong or unpredictable,
Timing stricter than a clock,
Yet poetic and eclectic,
And with style that none should mock.
2. Modern hymns have got lots of oddities.
Misprints and page turns are not commodities.
Timing’s erratic and I don’t know what key it’s in;
Looks like D flat but I don’t see how G fits in:
Augmented fourths!
Augmented fourths!
Chorus:
Praises to the English Hymnal,
Realm of concord and harmony.
Dissonance is merely passing
Polyhymnia’s testimony.
True and proper, won’t come a cropper.
Nothing false, fake or phoney.
3. Where’s the poetry in modern musicianship?
Rhyming’s slack and the grammar be on the slip.
"Gonna" isn’t a word in the Testament!
Joshua and Moses wouldn’t know what on Earth it meant!
In English Please!
In English Please!
Chorus
Praises to the English Hymnal,
Worthy Paragon of language pure.
Thou declaim’st in English perfect
No split infinitives must we endure.
Theologically,and pedagogically
From all folly doth us inure!
4. OK, the green book’s got lots of big words in it,
And the hymns last well over a minute,
But each line fits the tune, not vice versa,
Modern Hymns just get worser and worser!
Some lines really don’t fit at all!
Some lines really don’t fit at all!
Chorus:
Praises to the English Hymnal
And perhaps to AMNS!
Sixteen verses of "Let all Mortal"
Cause no permanent anguish or distress.
"Praise my Soul" or "Love Divine"
Are loved by all. Well, more or less!
Monday, August 14, 2006
A good reason why I shouldn't ever, ever be given a pen.
Friday, March 31, 2006
Latin Levity
A bit of silliness. I let the Young Fogey have the opportunity to use part of my translation of this dreadful song oft sung (regrettably) in Anglican Circles. I translated it into Latin so at least I wouldn't have to look at it in its full banality at Mass! I think you can probably guess what it is from the refrain!
Responsorium
V: Domine, lux amoris tuae fulget, fulgens in medias tenebras; Jesu, Lux Mundi, nobis adfulge, libera nos per veritatem quam nunc nobis adfers. Adfulge mihi, adfulge.
R: Fulge, Jesu, fulge. Hanc terram gloria Patris imple. Arde, Spiritus, arde. Corda nostra accende. Flue, Flumen, flue gratia et misericordia gentes inunda. Domine, emitte verbum tuum et fiat lux.
V: Domine, veni ex tenebris in conspectum numinosum tuumet in lucem tuam. Per sanguinem licet mihi ut splendorem tuum intrem. Me perscrutare, me tempta, tenebras meas totas consume. Adfulge mihi, adfulge.
R: Fulge, Jesu, fulge. Hanc terram gloria Patris imple. Arde, Spiritus, arde. Corda nostra accende. Flue, Flumen, flue gratia et misericordia gentes inunda. Domine, emitte verbum tuum et fiat lux.
V: Sicut splendorem regalem tuum contemplamur, sic vultus nostri exhibeant imaginem tuam, gloriam gloria mutantes, vitae nostrae acta tua, hic reddita, narrent. Adfulge mihi, adfulge.
R: Fulge, Jesu, fulge. Hanc terram gloria Patris imple. Arde, Spiritus, arde. Corda nostra accende. Flue, Flumen, flue gratia et misericordia gentes inunda. Domine, emitte verbum tuum et fiat lux.
Fulge, Jesu, fulge. Hanc terram gloria Patris imple. Arde, Spiritus, arde. Corda nostra accende. Flue, Flumen, flue gratia et misericordia gentes inunda. Domine, emitte verbum tuum et fiat lux.








