Monday, May 30, 2022
Saturday, May 28, 2022
UEFA: Champions League Winners
2018 Real Madrid 3 Liverpool 1
2017 Real Madrid 4 Juventus 1
2016 Real Madrid 1 Atlético Madrid 1 (5-3 pks)
2015 FC Barcelona 3 Juventus 1
2014 Real Madrid 4 Atlético Madrid 1 (et)
2013 Bayern Munich 2 Borussia Dortmund 1
2012 Chelsea 1 Bayern Munich 1 (4-3 pks)
2011 FC Barcelona 3 Manchester United 1
2010 Internazionale 2 Bayern Munich 0
2009 FC Barcelona 2 Manchester United 0
2008 Manchester United 1 Chelsea 1 (6-5 pks)
2007 AC Milan 2 Liverpool 1
2006 FC Barcelona 2 Arsenal 1
2005 Liverpool 3 vs AC Milan 3 (3-2 pks)
2004 FC Porto 3 vs AS Monaco FC 0
2003 AC Milan 0 vs Juventus 0 (3-2 pks)
2002 Real Madrid 2 vs Bayer Leverkusen 1
2001 Bayern Munich 1 vs Valencia 1 (5-4 pks)
2000 Real Madrid 3 vs Valencia 0
1999 Manchester United 2 vs Bayern Munich 1
1998 Real Madrid 1 vs Juventus 0
1997 Borussia Dortmund 3 vs Juventus 1
1996 Juventus 1 vs Ajax 1 (4-2 pks)
1995 Ajax 1 vs AC Milan 0
1994 AC Milan 4 vs Barcelona 0
1993 Olympique Marseille 1 vs AC Milan 0
1992 FC Barcelona 1 vs Sampdoria 0
1991 Red Star Belgrade 0 vs Marseille 0 (5-3 pks)
1990 AC Milan 1 vs Benfica 0
1989 AC Milan 4 vs Steaua Bucharest 0
1988 PSV Eindhoven 0 vs Benfica 0 (6-5 pks)
1987 FC Porto 2 vs Bayern Munich 1
1986 Steaua Bucharest 0 vs Barcelona 0 (2-0 pks)
1985 Juventus 1 vs Liverpool 0
1984 Liverpool 1 vs AS Roma 1 (4-2 pks)
1983 SV Hamburg 1 vs Juventus 0
1982 Aston Villa 1 vs Bayern Munich 0
1981 Liverpool 1 vs Real Madrid 0
1980 Nottingham Forest 1 vs SV Hamburg 0
1979 Nottingham Forest 1 vs Malmo 0
1978 Liverpool 1 vs Club Brugge 0
1977 Liverpool 3 vs Moenchengladbach 1
1976 Bayern Munich 1 vs Saint Etienne 0
1975 Bayern Munich 2 vs Leeds United 0
1974 Bayern Munich 4 vs Atlético Madrid 0 (replay after 1-1)
1973 Ajax 1 vs Juventus 0
1972 Ajax 1 vs Inter Milan 0
1971 Ajax 1 vs Panathinaikos 0
1970 Feyenoord 2 vs Celtic 1
1969 AC Milan 4 vs Ajax 1
1968 Manchester United 4 vs Benfica 1
1967 Celtic 2 vs Internazionale 1
1966 Real Madrid 2 vs Partizan Belgrade 1
1965 Internazionale 1 vs Benfica 0
1964 Internazionale 3 vs Real Madrid 1
1963 AC Milan 2 vs Benfica 1
1962 Benfica 5 vs Real Madrid 3
1961 Benfica 3 vs Barcelona 2
1960 Real Madrid 7 vs Eintracht Frankfurt 3
1959 Real Madrid 2 vs Reims 0
1958 Real Madrid 3 vs AC Milan 2
1957 Real Madrid 2 vs Fiorentina 0
1956 Real Madrid 4 vs Reims 3
Originally published January 24, 2007
Thursday, May 26, 2022
Wednesday, May 25, 2022
Friday, May 20, 2022
Do you have monkeypox?
Monday, May 16, 2022
I paid $18 for parking today & then played elastic man
Sunday, May 15, 2022
The consequences of good acts, most of the time, does not necessarily, cancel the consequences of bad acts, some of the time
The consequences of good actions, most of the time, does not necessarily, cancel the consequences of bad acts, some of the time. (Morality and Ethics)
The consequences of pleasant acts, most of the time, does not necessarily, cancel the consequences of unpleasant acts, some of the time. (Pragmatic living)
Photo: Leeds, England from trekearth.com
Saturday, May 14, 2022
Only three NHL franchises have won 3 or more consecutive Stanley Cups
Wednesday, May 11, 2022
Sunday, May 08, 2022
Mixed signals ∴ = Lack of taking risks
Friday, May 06, 2022
Brief Bullets reply to what Arne sent me: Math has a fatal flaw/certainty
Fatal flaw/certainty
Preface
In 2022, a friend sent me the link below:
https://www.youtube.com/watch?v=HeQX2HjkcNo
Cited from You Tube
‘Not
everything that is true can be proven. This discovery transformed infinity,
changed the course of a world war and led to the modern computer.’
Cited references from You
Tube
References:
Dunham, W. (2013, July). A Note
on the Origin of the Twin Prime Conjecture. In Notices of the International
Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International
Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of
life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970 Churchill, A., Biderman, S.,
Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and
Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5),
709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss,
Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the
Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music,
Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s
quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch,
H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally
undecidable propositions of Principia Mathematica and related systems. Courier
Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead,
A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III,
1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge
UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel:
Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University
Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia,
D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature,
528(7581), 207-211. — https://ve42.co/Cubitt2015
(End)
Fatal flaw/certainty
As a non-mathematician, I am not qualified to opine on the view that math has a fatal flaw. But, I can comment where academic disciplines, somewhat overlap. In the video, at approximately the eight second mark forward, the presenter mentions (paraphrased) that we never know everything with certainty. As mathematics is not my academic discipline, I accept what is stated, as a view within that academic discipline. Although I can reason that there is debate within that academic discipline and in all academic disciplines. My educational background in philosophy (philosophy of religion, in particular) and philosophical theology, has dealt with absolute certainty and reasonable certainty.
Within my academic work, I have noted: I can have reasonable certainty
that I exist, but not absolute 100% certainty. I will admit I had an adviser
and professor at Trinity Western University that disagreed with my view on
certainty. He stated that the gospel was 100% absolutely certain. But I held to and hold to, that only God has
the ontological ability of absolute certainty. I have reasonable certainty
in regard to the gospel as being true. During my MPhil/PhD theses work, when I
had to study Kant and Wittgenstein, I further developed partly through the
Cambridge Philosophy Dictionary, an understanding that there is humanly, no
absolute, 100% certainty. Reasonable certainty is that internally and
externally premises and conclusion (s) are consistent and not disproved by
counter propositions and conclusions.
In regards to approximately the 35 second mark, forward in the video, I will reply that infinity in mathematics is not the same as infinity in theistic, philosophy of religion or philosophical theology. Within my PhD work, there were some identical terms I would define one way within philosophy and another way within social research methods/statistics. In other words terms can have different definitions in different academic disciplines.
I hold to, within theistic, philosophy of religion, philosophical theology and theology, that God alone is the only infinite entity. God alone as an actual entity, is limitless, but not logically contradictory with attributes. I do understand that in mathematics and physics, infinity is defined differently, within a different context.
https://study.com/academy/lesson/what-is-infinity-in-math.html
Cited
‘Infinity is not a number, it is not a place, and it is not something that is just really big. In this lesson, we will talk about what infinity really is!’
Cited
‘What is Infinity? ''To infinity... and beyond!'' If you've ever seen Toy Story, you've probably heard this famous phrase said by Buzz Lightyear. Have you ever wondered what 'infinity' means? Is it a place? Is it a number? Well, in math, infinity is the idea that something has no endpoint and goes on forever. The symbol for infinity looks like a sideways 8’
https://brilliant.org/wiki/infinity/
Cited
‘Infinity is the concept of an object that is larger than any number. When used in the context "...infinitely small," it can also describe an object that is smaller than any number. It is important to take special note that infinity is not a number; rather, it exists only as an abstract concept. Attempting to treat infinity as a number, without special care, can lead to a number of paradoxes.’
(End)
In mathematics and science, infinity is more so an abstract concept. Whereas within much of theistic, philosophy of religion and philosophical theology and biblical theology, God, the first cause, the uncaused caused, is considered an actual, infinite, eternal entity. Apart from more philosophical approaches, this is also revealed within Biblical scripture in what can be named biblical theology as opposed to philosophical theology.
BLACKBURN, SIMON (1996) Oxford Dictionary of Philosophy, Oxford, Oxford University Press.
BRYMAN, ALAN (2004) Social Research Methods, Oxford, Oxford University Press.
DAVIES, BRIAN (1999) ‘Infinity’, in Alan Richardson and John Bowden (eds.), A New Dictionary of Christian Theology, Kent, SCM Press Ltd.
ERICKSON, MILLARD (1994) Christian Theology, Grand Rapids, Baker Book House.
KANT, IMMANUEL (1781)(1787)(1998) Critique of Pure Reason, Translated and edited by Paul Guyer and Allen W. Wood, Cambridge University Press, Cambridge.
KANT, IMMANUEL (1781)(1787)(1929)(2006) Critique of Pure Reason, Translated by Norman Kemp Smith, London, Macmillan.
KANT, IMMANUEL (1788)(1997) Critique of Practical Reason, Translated by Mary Gregor (ed.), Cambridge University Press, Cambridge.
KANT, IMMANUEL (1788)(1898)(2006) The Critique of Practical Reason, Translated by Thomas Kingsmill Abbott, London, Longmans, Green, and Co.
KANT, IMMANUEL (1791)(2001) ‘On The Miscarriage of All Philosophical Trials in Theodicy’, in Religion and Rational Theology, Translated by George di Giovanni and Allen Wood, Cambridge, Cambridge University Press.
KLEIN, PETER D. (1996) ‘Certainty’, in Robert Audi, (ed.), The Cambridge Dictionary of Philosophy, Cambridge, Cambridge University Press.
LANGER, SUSANNE K (1953)(1967) An Introduction to Symbolic Logic, Dover Publications, New York.
Oxford Dictionary of Science, (2010), Sixth Edition, Oxford, Oxford University Press.
THIESSEN, HENRY C. (1956) Introductory Lectures in Systematic Theology, Grand Rapids, Wm. B. Eerdmans Publishing Company.
WITTGENSTEIN, LUDWIG (1951)(1979) On Certainty, Basil Blackwell, Oxford.