17 April 2026

Grammar: accusative case

  Grammar: Trouble with the Accusative Case.

  I am enjoying learning more about Miss Mary Bennet, the unfortunate third daughter of Mr. Bennet esquire of Longbourn in the county of Hertfordshire; unfortunate in inheriting neither her mother's beauty, nor her father's intelligence. We learn of her adventures in London after the death of her father, in a 'spin-off' novel by Janice Hadlow,  called "The Other Bennet Sister"; and a BBC drama series of the same name written by Sarah Quintrell.

Her misfortunes are compounded by a lamentably poor grasp of English grammar, in particular she fails, as does her older sister Jane, in the use of the Accusative Case. She ends the second 'Chapter' by remarking: "Father had found a way out, leaving Mother and I (sic) with nothing, except each other."  And yes, as I said, Jane is blighted with the same solecism. At the opening of the third chapter, Jane says "Mary, you must come and stay with Mr. Bingley and I (sic). ". The problem may go deeper, even involving Sarah Quintrell, Lindsay Salt and staff at the BBC (British Broadcasting Corporation).

Poor Mary! At the first occurrence I winced. At the second, I leapt out of my chair, determined to do what I could to save all present and subsequent generations of young people from stumbling their way through this mine-field. 

Britain has clearly decided not to bother teaching grammar, so it does not help much if I refer to concepts like Nominative and Accusative Cases. (These concepts are so much clearer in Latin. The nominative case is used for subject nouns, the accusative case for object nouns. "The ball (nominative) hit the centre stump (accusative). In modern English there are only tiny trace of these distinctions. "I (nom.) speak"; "He spoke to me (acc.)."  But, that sort of instruction is lost on the modern youngsters. ) 

I have a much simpler way of teaching the correct usage; temporarily leave out your companion (Mrs. Bennet or Mr. Bingley in my examples). So, for Mary:
"Father had found a way out, leaving Mother and I (wrong ) with nothing, except each other.", becomes:
"Father had found a way out, leaving ... me with nothing, except ....".  So, after restoring the companion:
"Father had found a way out, leaving Mother and me (right) with nothing, except each other.",
(No one would dream of saying "....leaving I with nothing...." . It is the companion that interferes and misleads.) 

Similarly, for Jane:
"Mary, you must come and stay with Mr. Bingley and I (wrong). " becomes:
"Mary, you must come and stay with ........me  ". and eventually: 
"Mary, you must come and stay with Mr. Bingley and me (right). "
(No one would ever be tempted to say "Mary, you must come and stay with I" . It is the companion that misleads.) 

It is clear that the above error of 'Me-avoidance' comes from a fear of committing  the opposite, and even more common error of 'Me-insistence'; "Me and my friends did it". This error is of a completely different sort. Mary Bennet's error of 'Me-avoidance' is committed by people who are trying to be correct, and think they are succeeding; the 'Me-insisters' know they are wrong, but 'Insist'  for that reason. It is a teenage thing and is spontaneously abandoned  when the perpetrators leave school. However, it is, once again, the companions that cloud the issue, while assonance encourages the error. 

08 April 2026

Tax and Spend 2

 Tax and Spend version 2

  

   Back in July 2016, I wrote a piece on this blog titled "Tax and Spend" [1]. I remarked at the surprising fact that neither the 'Deficit Spending' school of macroeconomists (Keynes, Klugman, Chick & Pettifor, etc.), nor the 'Austerity' school (Hayek, Friedman, etc.) seemed to be able to convince the other school. Each could see the power of their own argument but not that of the other school. The issue was left in the hands of the politicians,  who were ill equipped to understood either argument.    I could understand parts of each school, but hoped there was a simpler way of revealing the logic. I tried to build a simplified model of the national economy; crude but robust. It illuminated very clearly the so-called 'multiplier' whereby money injected into the system goes round and round, doing more good, to more people, than you might at first expect. I ended, not as a 'Deficit Spender' but a 'Tax and Spender'. 

     I have gone over the argument again, improving and correcting. Let me show you. 

     Imagine a country that neither imports nor exports, neither goods nor services. Suppose that, in a certain fiscal year, the aggregated income (AI) of its citizens is 1 trillion pounds sterling (AI=1,000B£). Imagine that every citizen pays income tax (IT) at a flat rate (ITR) of 20p in the pound on all income (ITR=0.2), saves (S) 18% of net income (S=0.18), and spends the remainder. 

     (To estimate the fraction saved I shall consider incomes of greater that £200,000 p.a. to be saved and not spent. Clearly these super-rich will spend a little; but, equally clearly, some of the merely-rich will save a little. HMRC figures for 2022/3 suggest that total national income was 1347 B£, while that earned by the super-rich (so saved in this model) was 244 B£. So 18.11% of the total. For convenience I count as saved 18% of net income.)

     (I note that approximately 1/3 of UK government revenue comes from VAT and that governments use VAT as a fine-grained  way of directing our spending patterns. (Thus, food is exempt, but ice-cream and crisps are VATed). I shall initially assume that 1/4 of the purchases are VAT-free, and that VAT is charged on 3/4 of the  purchases at a rate of 20% (VATR=0.2).)

     Both the VAT-free and the VATable 'spend' is spent in this notional country, so it forms the gross takings of some of the citizens. If spent on bread, part will buy flour and fuel for the baker, but part will constitute income for the baker. Suppose (initially) that, for every business (or for businesses in aggregate), half the gross taking is spent on raw material (RMr=0.5) and half constitute wages (W). (I.e. Wages/net income = Wr = 1-RMr).   

     Looking now at the income of the government we can see that it is the sum of the income-tax takings (ITT) , and the VAT takings (VATT). What will the government do with the Total Tax (TT)? It will spend a fraction on wages (FW), a fraction on benefits (FB), a fraction on infrastructure (FI) and will waste a fraction (FW). Let us, rather arbitrarily, set these as follows: FW=0.5; FB =0.33; FI=0.1; FW=0.07. Note, however, that benefits constitute the income of a fraction of the population. Also that infrastructure includes roads, schools, libraries, the army, etc., while a fraction of tax inevitably produces no benefit, and is essentially wasted. (I am told that 'Benefits' comprise  roughly 10% of GDP, while wages comprise c. 75% of the cost of  the NHS.)

     All these quantities (see Table 1) enter the model as constants but are initial values only, and the simulation can be re-run with different values. 







The Results Table (Table 2) is like a 'Bagatelle Board'. We put 1 T£ in at the top left. Some is spent by the citizenry and some is routed to the Treasury. At the end of 'round one' a sizeable fraction (c. 60%) of both tax money and private spending emerges as more income, so that part goes round again. And that again produces more income, repeatedly until the sums get too small to bother with. The final GDP is the sum of those repeats.    




     What we want to know is the final result, in terms of final GDP (fGDP), final saving (fS), final tax (fTT), final infrastructure (fI), final private spend (fPS), and final Waste (fW). (See Table 3.)














Conclusions

(1) The multiplier effect is striking; varying from 2  to 2.5. Seeding with a GDP of 1 trillion and ending with 2.0 – 2.5 trillion.

(2) A surprising result is that GDP increases 10% when taxes are raised from 20p to 30p in the pound. Presumably because government spending recycles more than private spending.

(3)  Infrastructure benefits by a striking 58% when taxes are raised from 20p to 30p in the pound. The government has 58% more money for roads, schools, army etc. 

(4)  The downside of raising taxes from 20p to 30p in the pound, is that the money for private spending is reduced, but only by some 13%. It need not fall at all for the poorer half of the population, if the tax system is suitably 'progressive'. Tax rises are difficult to sell to the public, but perhaps not impossible, if we clearly need, and want: better army, better roads, better schools, NHS, etc. 


References:

[1] https://occidentis.blogspot.com/2016/07/tax-and-spend.html 



=============================

02 April 2026

Nature Notes

 Village Nature Notes

On my afternoon walk the other day, in the last week of March, I passed an old rabbit warren. The path is easy to follow at this season, for there are no nettles yet, and the numerous rabbit holes on either side of the path are clearly visible. As I approached one hole, with the sun over my shoulder I could see right into the hole, and there, barely a foot from the opening, was a half-grown baby rabbit, enjoying the sun. He would be safe enough from the many dogs that will pass that way. And ferrets are rare.

Seeing several brimstone butterflies and (today) a small tortoiseshell, reminded me that I had not seen 'Barry' for 6 months. For ten years, I used to see him regularly getting on or off the bus from town. His ashen pallor, his dejected carriage and expressionless face always giving me the impression of a person more dead than alive. Poor Barry. He believed he was doomed to die from a chronic disease of the lungs; yet he got about, and never seemed short of breath. He was agreeably slim and carried his weight easily. In fact, apart from his pallor and fatigue, he looked quite fit; until you saw his eyes, and felt the full impact of his apparent despair. 

For five years Barry never noticed me, never wasted a glance in my direction. Nor did I ever see him speak a word to anyone else. Then, one day, on the bus coming out of town, I saw Barry in animated conversation with a couple I did not recognise. I felt rebuked. It was clear that he could talk to people he knew, or people who interested him. I managed to catch his eye when we both got off the bus. Within a week we were on speaking terms, and soon after that we exchanged christian names. He told me that the small tortoiseshell butterfly was this year very rare in our corner of Northamptonshire. I mentioned that I had seen several brimstones. He told me the names of all the butterflies he had seen already that year; and he had seen a lot. He was fond of Bruckner, a composer I admitted I had not been drawn to, and there I let Barry down. But he told me the lengths and opus numbers of all his favourite Bruckner symphonies. 

With that wonderful memory for detail, I wondered what his job had been, eager to 'place' him relative to my own limited world; for he was not quite an academic, nor was he a professional. It turned out, and I would never have guessed, that he had made his living by buying and selling British porcelain. Again I was quickly out of my depth; I only knew two facts about early British porcelain, gleaned from living for five years among the china-clay pits of central Cornwall, so my part in the conversation was soon exhausted. But Barry was able to name, date, and place all the famous eighteenth century makers of British porcelain from Cookworthy to Spode, from Chelsea to Bristol to Worcester to Staffordshire. He could probably have told me every piece he had ever bought, or sold. We met frequently on the bus, would sit together and list butterflies to each other, or discuss the dates of the romantic composers; topics on which we were more evenly matched.  I went abroad at the end of September six months ago, and though I returned at Christmas I have not seen Barry since. 

I was standing in my dining room, recently, looking out over my small garden, enjoying the consciousness of having nothing pressing to do. I love my resident song birds; the blackbird that sings at dusk, the robin that sings whenever I go out into the garden. And I would include the wren and the dunnock who flit about in the ivy. Then a flash of speckled brown wings. A large  bird swooped over the hedge at its lowest point, crossed the lawn and disappeared. A glimpse, lasting less than a second. Too brief to identify a sparrow hawk, but I fear that is what it was, and that he might have snatched one of my cherished residents.

My voice, manner or dress has a curious effect on some people. Yesterday, shortly after five pm, waiting at the retail park for the bus to town, a cheerful and chatty man came towards me across the road towing a wheelie shopper crammed full of polythene bags. Were those purchases, I wondered, or his worldly possessions?

"You have been shopping!" I offered. 

"Oh, that is our laundry," he replied. "Our washing machine is giving trouble". He grinned, revealing a complete absence of upper incisors. I could not think how he came to be with his laundry in the retail park for there was no laundromat there.  His wife was shopping. 

He told me that he was a gardener – a conversational jump which I think he must have introduced for I usually stick to topic when conversing. Once we were onto gardening we stuck to it and chatted for half an hour. Was I a gardener? 

"Keen," I said, "but not gifted, for weeds and pests overwhelm my efforts. "

"Dandelions" he said. 

"Taraxacum officinale" I responded. 

"Thats right" he agreed, delightedly. "So you know the Latin!"

He lived at Byfield. Had been head-gardener at Wardington Manor for 15 years. Lovely garden. I felt I knew Lord Wardington then corrected myself. One evening,  standing in the middle of the road, I had chatted awhile with farmer Brakespear about Lord and Lady Wardington,. 

"Oh, I knew John Breakspear very well, lived in upper Wardington, opposite The Plough." 

And so we rattled on. The late bus arrived though his wife did not. "There is another bus in half an hour."  So we both got on, and continued our reminiscences. The bus dawdled down Middleton road in heavy traffic, till I had to jump off, desperate for a pee. A good conversationalist, John Gardner. (He may have told me his name, and where he trained, but I have forgotten, so I have called him John, provisionally.)