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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
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. The evolving historiography of mathematics
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
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?
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.
4. Second creation

4. Second creation  

J. L. Heilbron

in The History of Physics: A Very Short Introduction

Print Publication Year: 
Jan 2018
Published Online: 
Jan 2018
eISBN: 
9780191782435
DOI: 
10.1093/actrade/9780199684120.003.0005
Item type: 
chapter
ISBN: 
9780199684120
4. Second creation Revolution or integration? ‘New philosophy calls all in doubt | The element of fire is quite put out | The earth’s lost and no man’s wit | Can well direct him where to look for it’. John Donne thus recorded the tremors in a world of learning shocked by the discoveries of the Columbus of the heavens and of the incompetence of all ancient systems of thought, apart from the sceptical, to accommodate modern knowledge. For a time the philosophical fashion was scepticism, which, strengthened by the recovered sceptics’ handbook of Sextus Empiricus, made common cause with
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
6. Religion and superstition

6. Religion and superstition  

Catherine Wilson

in Epicureanism: A Very Short Introduction

Print Publication Year: 
Dec 2015
Published Online: 
Dec 2015
eISBN: 
9780191808951
DOI: 
10.1093/actrade/9780199688326.003.0006
Item type: 
chapter
ISBN: 
9780199688326
6. Religion and superstition
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
2. Within and beyond appearance

2. Within and beyond appearance  

Christopher Janaway

in Schopenhauer: A Very Short Introduction

Print Publication Year: 
Feb 2002
Published Online: 
Sep 2013
eISBN: 
9780191775666
DOI: 
10.1093/actrade/9780192802590.003.0002
Item type: 
chapter
ISBN: 
9780192802590
2. Within and beyond appearance Appearance and thing in itself The better consciousness The Fourfold Root The limits of sufficient reason
2. Why Spock could never have evolved

2. Why Spock could never have evolved  

Dylan Evans

in Emotion: A Very Short Introduction

Print Publication Year: 
Feb 2003
Published Online: 
Sep 2013
eISBN: 
9780191776007
DOI: 
10.1093/actrade/9780192804617.003.0002
Item type: 
chapter
ISBN: 
9780192804617
2. Why Spock could never have evolved
2. Is matter real?

2. Is matter real?  

Jan Westerhoff

in Reality: A Very Short Introduction

Print Publication Year: 
Nov 2011
Published Online: 
Sep 2013
eISBN: 
9780191778063
DOI: 
10.1093/actrade/9780199594412.003.0003
Item type: 
chapter
ISBN: 
9780199594412
2. Is matter real? ‘What is “real”? How do you define “real”? If you mean what we can taste, smell, hear and feel then what's “real” is nothing more than electrical signals interpreted by your brain.’ Matrix definition , is curious in a number of ways. Electrons, the number 5, the latest recession – none of these are things we can taste, smell, hear, and feel, yet most people agree that they are real. On the other hand, the hallucinated insects appearing to an alcoholic during delirium tremens , a child's imaginary friends, and the illusory smells experienced by
1. Who was Leibniz?

1. Who was Leibniz?  

Maria Rosa Antognazza

in Leibniz: A Very Short Introduction

Print Publication Year: 
Sep 2016
Published Online: 
Nov 2016
eISBN: 
9780191788079
DOI: 
10.1093/actrade/9780198718642.003.0001
Item type: 
chapter
ISBN: 
9780198718642
1. Who was Leibniz? do certain things, namely to improve the life of his fellow human beings through the advancement of science, and to establish a stable and just political order in which the divisions amongst the Christian churches could be reconciled. A surprising number of his apparently miscellaneous endeavours were aspects of a single master project tenaciously pursued throughout his life: the systematic reform and development of all the sciences, to be undertaken as a collaborative enterprise supported by an enlightened ruler. These theoretical pursuits were in turn ultimately grounded in a practical goal: the improvement of the
8. Epicurean ethics

8. Epicurean ethics  

Catherine Wilson

in Epicureanism: A Very Short Introduction

Print Publication Year: 
Dec 2015
Published Online: 
Dec 2015
eISBN: 
9780191808951
DOI: 
10.1093/actrade/9780199688326.003.0008
Item type: 
chapter
ISBN: 
9780199688326
8. Epicurean ethics
15. Maybe it is true—but you can’t prove it!

15. Maybe it is true—but you can’t prove it!  

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/9780198811701.003.0015
Item type: 
chapter
ISBN: 
9780198811701
15. Maybe it is true—but you can’t prove it! a, b , etc.) for sentences. In this chapter, I will use upper case letters ( A, B , etc.), so as to avoid any possible confusion with numbers.)
7. Arts versus sciences

7. Arts versus sciences  

Andrew Robinson

in Genius: A Very Short Introduction

Print Publication Year: 
Feb 2011
Published Online: 
Sep 2013
eISBN: 
9780191778056
DOI: 
10.1093/actrade/9780199594405.003.0007
Item type: 
chapter
ISBN: 
9780199594405
7. Arts versus sciences
5. The early modern empire (2)from the Peace of Westphalia to 1806

5. The early modern empire (2): from the Peace of Westphalia to 1806  

Joachim Whaley

in The Holy Roman Empire: A Very Short Introduction

Print Publication Year: 
Jul 2018
Published Online: 
Jul 2018
eISBN: 
9780191811241
DOI: 
10.1093/actrade/9780198748762.003.0006
Item type: 
chapter
ISBN: 
9780198748762
5. The early modern empire (2) from the Peace of Westphalia to 1806

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