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Core Concepts

Adequate Determinism
Agent-Causality
Alternative Possibilities
Causa Sui
Causality
Certainty
Chance
Chance Not Direct Cause
The Cogito Model
Compatibilism
Comprehensive   Compatibilism
Conceptual Analysis
Control
Could Do Otherwise
Creativity
Default Responsibility
De-liberation
Determination
Determination Fallacy
Determinism
Disambiguation
Either Way
Ethical Fallacy
Experimental Philosophy
Extreme Libertarianism
Event Has Many Causes
Frankfurt Cases
Free Choice
Freedom of Action
"Free Will"
Free Will Axiom
Free Will in Antiquity
Free Will Mechanisms
Free Will Requirements
Free Will Theorem
Future Contingency
Hard Incompatibilism
Illusion of Determinism
Illusionism
Impossibilism
Incompatibilism
Indeterminacy
Indeterminism
Infinities
Laplace's Demon
Libertarianism
Liberty of Indifference
Libet Experiments
Luck
Master Argument
Modest Libertarianism
Moral Necessity
Moral Responsibility
Moral Sentiments
Mysteries
Naturalism
Necessity
Noise
Non-Causality
Nonlocality
Origination
Paradigm Case
Pre-determinism
Predictability
Probability
Pseudo-Problem
Random When?/Where?
Rational Fallacy
Responsibility
Same Circumstances
Scandal
Science Advance Fallacy
Second Thoughts
Semicompatibilism
Separability
Soft Causality
Special Relativity
Standard Argument
Taxonomy
Temporal Sequence
Tertium Quid
Torn Decision
Two-Stage Models
Ultimate Responsibility
Uncertainty
Up To Us
Voluntarism

Philosophers

Mortimer Adler
Rogers Albritton
Alexander of Aphrodisias
G.E.M.Anscombe
Anselm
Thomas Aquinas
Aristotle
David Armstrong
Augustine
J.L.Austin
A.J.Ayer
Alexander Bain
Mark Balaguer
William Belsham
Henri Bergson
Isaiah Berlin
Bernard Berofsky
Susanne Bobzien
George Boole
Émile Boutroux
F.H.Bradley
C.D.Broad
C.A.Campbell
Joseph Keim Campbell
Carneades
Ernst Cassirer
Roderick Chisholm
Chrysippus
Cicero
Randolph Clarke
Samuel Clarke
Anthony Collins
Diodorus Cronus
Donald Davidson
Democritus
Daniel Dennett
René Descartes
Richard Double
Emil du Bois-Reymond
Fred Dretske
John Earman
Laura Waddell Ekstrom
Epictetus
Epicurus
Herbert Feigl
John Martin Fischer
Owen Flanagan
Luciano Floridi
Philippa Foot
Alfred Fouillée
Harry Frankfurt
Richard L. Franklin
Michael Frede
Carl Ginet
H.Paul Grice
Nicholas St. John Green
Ian Hacking
Ishtiyaque Haji
Stuart Hampshire
W.F.R.Hardie
R.M.Hare
Georg W.F. Hegel
Martin Heidegger
R.E.Hobart
Thomas Hobbes
David Hodgson
Shadsworth Hodgson
Ted Honderich
Pamela Huby
David Hume
Ferenc Huoranszki
William James
Lord Kames
Robert Kane
Immanuel Kant
Tomis Kapitan
William King
Christine Korsgaard
Keith Lehrer
Gottfried Leibniz
Leucippus
Michael Levin
C.I.Lewis
David Lewis
Peter Lipton
John Locke
Michael Lockwood
John R. Lucas
Lucretius
James Martineau
Hugh McCann
Colin McGinn
Michael McKenna
Paul E. Meehl
Alfred Mele
John Stuart Mill
Dickinson Miller
G.E.Moore
Thomas Nagel
Friedrich Nietzsche
P.H.Nowell-Smith
Robert Nozick
William of Ockham
Timothy O'Connor
David F. Pears
Charles Sanders Peirce
Derk Pereboom
Steven Pinker
Karl Popper
H.A.Prichard
Hilary Putnam
Willard van Orman Quine
Frank Ramsey
Ayn Rand
Thomas Reid
Charles Renouvier
Nicholas Rescher
C.W.Rietdijk
Josiah Royce
Bertrand Russell
Paul Russell
Gilbert Ryle
T.M.Scanlon
Moritz Schlick
Arthur Schopenhauer
John Searle
Wilfrid Sellars
Henry Sidgwick
Walter Sinnott-Armstrong
J.J.C.Smart
Saul Smilansky
Michael Smith
L. Susan Stebbing
George F. Stout
Galen Strawson
Peter Strawson
Eleonore Stump
Richard Taylor
Kevin Timpe
Peter van Inwagen
Manuel Vargas
John Venn
Kadri Vihvelin
Voltaire
G.H. von Wright
David Foster Wallace
R. Jay Wallace
W.G.Ward
Ted Warfield
Roy Weatherford
Alfred North Whitehead
David Widerker
David Wiggins
Bernard Williams
Ludwig Wittgenstein
Susan Wolf

Scientists

Michael Arbib
Bernard Baars
John S. Bell
Charles Bennett
Margaret Boden
David Bohm
Neils Bohr
Ludwig Boltzmann
Emile Borel
Max Born
Stephen Brush
Leon Brillouin
Thomas Buckle
Donald Campbell
Anthony Cashmore
Eric Chaisson
Jean-Pierre Changeux
Arthur Holly Compton
John Conway
E. H. Culverwell
Charles Darwin
Abraham de Moivre
Paul Dirac
John Eccles
Arthur Stanley Eddington
Albert Einstein
Paul Ehrenfest
Richard Feynman
Michael Gazzaniga
GianCarlo Ghirardi
Nicolas Gisin
Thomas Gold
A.O.Gomes
Joshua Greene
Jacques Hadamard
Patrick Haggard
Augustin Hamon
Sam Harris
Martin Heisenberg
Werner Heisenberg
William Stanley Jevons
Pascual Jordan
Simon Kochen
Stephen Kosslyn
Rolf Landauer
Alfred Landé
Pierre-Simon Laplace
David Layzer
Benjamin Libet
Josef Loschmidt
Ernst Mach
Henry Margenau
James Clerk Maxwell
Ernst Mayr
Jacques Monod
Roger Penrose
Steven Pinker
Max Planck
Henri Poincaré
Adolphe Quételet
Jerome Rothstein
Erwin Schrödinger
Claude Shannon
Dean Keith Simonton
Herbert Simon
B. F. Skinner
Henry Stapp
Antoine Suarez
Leo Szilard
William Thomson (Kelvin)
John von Neumann
Daniel Wegner
Steven Weinberg
Norbert Wiener
Eugene Wigner
E. O. Wilson
Ernst Zermelo

 
Master Argument of Diodorus Cronus

Diodorus Cronus was a member (or perhaps a late follower) of the Megarian School, whose arguments about the truth and falsity of statements about the future may have influenced Aristotle.

The so-called "Master Argument" (the κυριεύων or κύριος λόγος) was apparently first formulated by Diodorus, although we do not have his specific argument, because he wrote nothing (or at least nothing that survives). Like Socrates, he preferred talking (the dialectic) to writing. He was known as "The Dialectician."

Epictetus reconstructs the lost Master Argument as a logical contradiction between three propositions.

  1. every past truth must be necessary
  2. an impossibility does not follow from a possibility
  3. something is possible which neither is nor will be true
Given the first two, it is apparent that the third is false, and we can conclude that nothing is possible which is not true and never will be.

The Master Argument was central in the Hellenistic debates about determinism, as shown by Cicero's descriptions in On Fate.

For the ancients, and for modern sophists, this is the kind of logical linguistic argument used to prove that motion is impossible, Zeno's famous paradox. It is similar to Parmenides' dialectical proof that all the atoms must be in contact with one another, because there is a void (viz., nothing) between them.

Fundamentally, the Master Argument is a question abut the ontological status of the possible, the potential (δύναμις), as compared to the actual (ὁ κύριος). Epictetus' third proposition that something that neither is or ever will be is "possible" is just the common sense use of the term possible, phrased in such a way as to make it doubtful. How could something that neither is nor ever will be, be possible?

In his sophistic conclusion, that nothing is possible which is not true and never will be, Diodorus is playing language games with the meaning of "possible," just as modern compatibilist philosophers like Harry Frankfurt deny the existence of . Clearly, the Master Argument applies to the question of whether we are (or ever were) free to do otherwise.

Diodorus also argued that the actual is the only possible. He observed that if something in the future is not going to happen, it was therefore true in the past that it would not happen. From this correct observation, he mistakenly claimed that the existence of true statements about the future imply that the future is already determined.

This is the problem of future contingency, made famous in the example of Aristotle's Sea-Battle in De Interpretatione 9. Aristotle thought statements about the future lack any truth value. They are neither true nor false until the future time when they become true or false.

So a better way out might be to note that Diodorus' first proposition is dependent on the use of "truth," especially supposed "true" statements about the future, and we can reduce the Master Argument to the problem of future contingency.

The assumption that logical arguments and their "truths" are timeless is a misapplication of logic, which in any case cannot tell us much about the physical world.

Modern philosophers like C. W. Rietdijk, Hilary Putnam, J. J. C. Smart, Michael Lockwood, and Michael Levin like to think that the future is "already out there" in the relativistic space-time continuum of a "tenseless" "block universe."

Because special relativity can treat time as another dimension, philosophers mistakenly think it must have the properties of space, which is "already there." This is similar to the mistakes of both philosophers and mathematicians about chance. Since random events follow distribution laws, they must be lawful and therefore chance is not real, it is an illusion, like free will.

Modern determinists/compatibilists on free will like to argue that just as the past cannot be changed, so the future cannot be changed. "Change it from what to what?," says Daniel Dennett.

But note that the "truth value" of a statement made in the past can be changed when an event it describes does or does not happen, showing that some aspects of the "fixed past" (i.e., the truth values of past statements) "actually" have some changeability (when their potentials become actual).

Information Philosophy and Master Argument
Thinking about the Master Argument in terms of the growth of information provides the clearest resolution of the problem of future contingency.

Information is not a constant of nature. The cosmic creation process is constantly creating new information.

When information is created, there is always an irreducible chance element since it is quantum processes that form stable new information structures.

Some information about future events does not come into existence until the potential events become actual.

It is at that time that statements about the future acquire their truth values. Aristotle did not think in information terms, but he had the right answer to the Master Argument, one that disturbs modern logical positivists and analytic language philosophers, as shown by Richard Taylor's faux argument for Fatalism in the Psychological Review.

Note that Fatalism is a form of determinism. It is the simple idea that everything is already fated to happen, so that humans have no control over their future. But also note that Fate (personified) has arbitrary power and need not follow any causal or otherwise deterministic laws. It could include the miracles of omnipotent gods, in which case future contingency returns.

Note further that the gods' omnipotence contradicts the theological assumption that gods are omniscient. They cannot be both. That is a logical contradiction.

For Teachers
For Scholars
Epictetus on the Master Argument
Ὁ κυριεύων λόγος ἀπὸ τοιούτων τινῶν ἀφορμῶν ἠρωτῆσθαι φαίνεται: κοινῆς γὰρ οὔσης μάχης τοῖς τρισὶ τούτοις πρὸς ἄλληλα,
τῷ [τὸ] πᾶν παρεληλυθὸς ἀληθὲς ἀναγκαῖον εἶναι
καὶ τῷ [ἀ]δυνατῷ ἀδύνατον μὴ ἀκολουθεῖν
καὶ τῷ [*? δυνατὸν εἶναι ὃ οὔτ᾽ ἔστιν ἀληθὲς οὔτ᾽ ἔσται,
συνιδὼν τὴν μάχην ταύτην ὁ Διόδωρος τῇ τῶν πρώτων δυεῖν πιθανότητι συνεχρήσατο πρὸς παράστασιν
τοῦ μηδὲν εἶναι δυνατόν, ὃ οὔτ᾽ ἔστιν ἀληθὲς οὔτ᾽ ἔσται.
[2] λοιπὸν ὁ μέν τις ταῦτα τηρήσει τῶν δυεῖν, ὅτι ἔστι τέ τι δυνατόν, ὃ οὔτ᾽ ἔστιν ἀληθὲς οὔτ᾽ ἔσται, καὶ δυνατῷ ἀδύνατον οὐκ ἀκολουθεῖ: οὐ πᾶν δὲ παρεληλυθὸς ἀληθὲς ἀναγκαῖόν ἐστιν, καθάπερ οἱ περὶ Κλεάνθην φέρεσθαι δοκοῦσιν, οἷς ἐπὶ πολὺ συνηγόρησεν Ἀντίπατρος. [3] οἱ δὲ τἆλλα δύο, ὅτι δυνατόν τ᾽ ἐστίν, ὃ οὔτ᾽ ἔστιν ἀληθὲς οὔτ᾽ ἔσται, καὶ πᾶν παρεληλυθὸς ἀληθὲς ἀναγκαῖόν ἐστιν, δυνατῷ δ᾽ ἀδύνατον ἀκολουθεῖ. [4] τὰ τρία δ᾽ ἐκεῖνα τηρῆσαι ἀμήχανον διὰ τὸ κοινὴν εἶναι αὐτῶν μάχην.

The argument called the ruling argument (ὁ κυριεύων λόγος) appears to have been proposed from such principles as these: there is in fact a common contradiction between one another in these three propositions, each two being in contradiction to the third. The propositions are,

that every thing past must of necessity be true;
that an impossibility does not follow a possibility;
and that a thing is possible which neither is nor will be true.
Diodorus observing this contradiction employed the probative force of the first two for the demonstration of this proposition,
That nothing is possible which is not true and never will be.
Now another will hold these two: That something is possible. which is neither true nor ever will be: and That an impossibility does not follow a possibility. But he will not allow that every thing which is past is necessarily true, as the followers of Cleanthes seem to think, and Antipater copiously defended them. But others maintain the other two propositions, That a thing is possible which is neither true nor will be true: and That everything which is past is necessarily true; but then they will maintain that an impossibility can follow a possibility. But it is impossible to maintain these three propositions, because of their common contradiction.
Epictetus continues:
If then any man should ask me, which of these propositions do you maintain? I will answer him, that I do not know; but I have received this story, that Diodorus maintained one opinion, the followers of Panthoides, I think, and Cleanthes maintained another opinion, and those of Chrysippus a third. What then is your opinion? I was not made for this purpose, to examine the appearances that occur to me, and to compare what others say and to form an opinion of my own on the thing. Therefore I differ not at all from the grammarian.

Chapter 3.7 - The Ergod Chapter 4.2 - The History of Free Will
Part Three - Value Part Five - Problems
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