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6. Necessity and possibility: what will be must be?

6. Necessity and possibility: what will be must be?  

Graham Priest

in Logic: A Very Short Introduction (2nd edn)

Print Publication Year: 
Oct 2017
Published Online: 
Oct 2017
eISBN: 
9780191848513
DOI: 
10.1093/actrade/9780198811701.003.0006
Item type: 
chapter
ISBN: 
9780198811701
6. Necessity and possibility: what will be must be? is so, but that it must be so. We say: ‘It must be going to rain’, ‘It can’t fail to rain’, ‘Necessarily, it’s going to rain’. We also have many ways of saying that, though something may, in fact, not be the case, it could be. We say: ‘It could rain tomorrow’, ‘It is possible that it will rain tomorrow’, ‘It’s not impossible that it will rain tomorrow’. If a is any sentence, logicians usually write the claim that a must be
1. What is combinatorics?

1. What is combinatorics?  

Robin Wilson

in Combinatorics: A Very Short Introduction

Print Publication Year: 
Apr 2016
Published Online: 
Apr 2016
eISBN: 
9780191790324
DOI: 
10.1093/actrade/9780198723493.003.0001
Item type: 
chapter
ISBN: 
9780198723493
1. What is combinatorics?
7. The evolving historiography of mathematics

7. The evolving historiography of mathematics  

Jacqueline Stedall

in The History of Mathematics: A Very Short Introduction

Print Publication Year: 
Feb 2012
Published Online: 
Sep 2013
eISBN: 
9780191778094
DOI: 
10.1093/actrade/9780199599684.003.0007
Item type: 
chapter
ISBN: 
9780199599684
7.
Philosophy: A Very Short Introduction

Philosophy: A Very Short Introduction  

Edward Craig

Print Publication Year: 
Feb 2002
Published Online: 
Sep 2013
eISBN: 
9780191776700
DOI: 
10.1093/actrade/9780192854216.001.0001
Item type: 
book
ISBN: 
9780192854216
A Very Short Introduction
14. Halt! What goes there?

14. Halt! What goes there?  

Graham Priest

in Logic: A Very Short Introduction (2nd edn)

Print Publication Year: 
Oct 2017
Published Online: 
Oct 2017
eISBN: 
9780191848513
DOI: 
10.1093/actrade/9780198811701.003.0014
Item type: 
chapter
ISBN: 
9780198811701
14. Halt! What goes there? If you have got this far in the book, you will have a reasonable sense of the basic ideas of modern logic. But that is just a beginning. Modern logic goes a long way beyond these ideas, with results of great profundity and beauty. There is, of course, no possibility of surveying these in a book of this nature, but this chapter and the next will, at least, offer a glimpse of what lies beyond. We will take a look at some results about what formal reasoning can and can’t do, and some of the
9. Identity and change: is anything ever the same?

9. Identity and change: is anything ever the same?  

Graham Priest

in Logic: A Very Short Introduction (2nd edn)

Print Publication Year: 
Oct 2017
Published Online: 
Oct 2017
eISBN: 
9780191848513
DOI: 
10.1093/actrade/9780198811701.003.0009
Item type: 
chapter
ISBN: 
9780198811701
9. Identity and change: is anything ever the same? We have not finished with time yet. Time is involved in various other conundrums, one kind of which we will look at in this chapter. This kind concerns problems that arise when things change; and specifically, the question of what is to be said about the identity of objects that change through time.
9. Partitions

9. Partitions  

Robin Wilson

in Combinatorics: A Very Short Introduction

Print Publication Year: 
Apr 2016
Published Online: 
Apr 2016
eISBN: 
9780191790324
DOI: 
10.1093/actrade/9780198723493.003.0009
Item type: 
chapter
ISBN: 
9780198723493
9. Partitions partitions : Have you ever considered the number of partitions or divulsions of a given number, namely, the number of ways it may be split up into two, three, etc., pieces? It seems to me that this is not an easy problem, and yet it would be worth knowing. 4 ,   3 + 1 ,   2 + 2 ,   2 + 1 + 1 ,   1 + 1 + 1 + 1. 5, 4 + 1, 3 + 2, 3 + 1 + 1, 2 + 2 + 1, 2 + 1 + 1 + 1, 1 + 1 + 1 + 1 + 1. n , we let p ( n ) be the number of partitions of n , so p
Leibniz: A Very Short Introduction

Leibniz: A Very Short Introduction  

Maria Rosa Antognazza

Print Publication Year: 
Sep 2016
Published Online: 
Nov 2016
eISBN: 
9780191788079
DOI: 
10.1093/actrade/9780198718642.001.0001
Item type: 
book
ISBN: 
9780198718642
A Very Short Introduction
Epilogue

Epilogue  

Maria Rosa Antognazza

in Leibniz: A Very Short Introduction

Print Publication Year: 
Sep 2016
Published Online: 
Nov 2016
eISBN: 
9780191788079
DOI: 
10.1093/actrade/9780198718642.003.0010
Item type: 
chapter
ISBN: 
9780198718642
Epilogue Leibniz’s philosophy is the product of a multi-layered conversation with centuries of past thought and hundreds of individuals of his own age scattered all over Europe and as far afield as China. It is possible to trace important elements of his way of thinking back to many different traditions, all of them reshaped and remodelled into a strikingly original outlook. Leibniz himself recommended to search for and to treasure fragments of truth everywhere. ‘Truth is more widespread than people think,’ he noted in a letter to Nicolas Rémond of August 1714, ‘but it is very often disguised and very
4. What am I?An unknown Buddhist on the self: King Milinda’s chariot

4. What am I?: An unknown Buddhist on the self: King Milinda’s chariot  

Edward Craig

in Philosophy: A Very Short Introduction

Print Publication Year: 
Feb 2002
Published Online: 
Sep 2013
eISBN: 
9780191776700
DOI: 
10.1093/actrade/9780192854216.003.0004
Item type: 
chapter
ISBN: 
9780192854216
4. What am I? An unknown Buddhist on the self: King Milinda’s chariot

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