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WHAT IS SCIENCE?
HISTORY OF SCIENCE AND TECHNOLOGY SINCE 1750
JASON M. KELLY PHD FSA
JASKELLY@IUPUI.EDU | @JASON_M_KELLY
EPISTEMOLOGY
HOW DO WE KNOW THE
WORLD?

Dave Coverly. Speed Bump. Used according to the
educational fair use guidelines provided by the
Cartoonist Group. This image is copyright
protected. The copyright owner reserves all rights.
RATIONALISM
AND
EMPIRICISM

A PRIORI AND A POSTERIORI
KNOWLEDGE
2+2=4
a priori = knowledge
independent from
sensory experience
(e.g. mathematics or
logic)

a posteriori =
knowledge derived
from sensory
experience

All bachelors are unmarried.
If A is greater than B, and B is
greater than C, then A is greater
than C.

There are four apples in the bag.
Some bachelors are unhappy.
The Boeing 747 is larger than the
Boeing 727.
Rationalist Variants
(derived from
http://plato.stanford.edu/entries/rationalism-empiricism/)
1. The Intuition/Deduction Thesis: Some propositions in a
particular subject area, S, are knowable by us by intuition
alone; still others are knowable by being deduced from
intuited propositions.
2. The Innate Knowledge Thesis: We have knowledge of some
truths in a particular subject area, S, as part of our rational
nature.
3. The Innate Concept Thesis: We have some of the concepts
we employ in a particular subject area, S, as part of our
rational nature.
• The Indispensability of Reason Thesis: The knowledge we
gain in subject area, S, by intuition and deduction, as well as
the ideas and instances of knowledge in S that are innate to
us, could not have been gained by us through sense
experience.
• The Superiority of Reason Thesis: The knowledge we gain in
subject area S by intuition and deduction or have innately is
superior to any knowledge gained by sense experience.

All rationalist
arguments
are one of
these three
types
CAUSATION

COINCIDENCE,
CORRELATION, CONSTANT
CONJUNCTION
CAUSATION

DAVID HUME ON CAUSE AND
EFFECT

The mind can never possibly find the
effect in the supposed cause, by the
most accurate scrutiny and examination.
For the effect is totally different from the
cause, and consequently can never be
discovered in it. Motion in the second
billiard ball is a quite distinct event from
the motion in the first. Nor is there
anything in the one to suggest the
smallest hint of the other. A stone or
piece of metal raised into the air, and
left without any support immediately
falls: but to consider the matter a priori,
is there anything we discover in this
situation which can beget the idea of a
downward, rather than an upward, or
any other motion, in the stone or metal?
David Hume. An Enquiry Concerning
Human Understanding (1772)

http://www.youtube.com/watch?v=-tZ6L7QNFws
As Bertrand Russell explained
more succinctly:

CAUSATION

DAVID HUME ON CAUSE AND
EFFECT

“The man who has fed the
chicken every day throughout its
life at last wrings its neck instead,
showing that more refined views
as to the uniformity of nature
would have been useful to the
chicken.”
Bertand Russell, “On Induction” in The Problems of
Philosophy (1912)

http://www.youtube.com/watch?v=-tZ6L7QNFws
Correlation does not
imply causation

CAUSATION

COINCIDENCE,
CORRELATION, CONSTANT
CONJUNCTION

Stephen R. Johnson, “The Trouble with QSAR (or How I Learned
To Stop Worrying and Embrace Fallacy),” Journal of Chemical
Information and Modelling 48:1 (2008): 25–26.
IS AND OUGHT

STATEMENTS OF FACT AND
VALUE

In every system of morality, which I have hitherto met
with, I have always remarked, that the author proceeds
for some time in the ordinary ways of reasoning, and
establishes the being of a God, or makes observations
concerning human affairs; when all of a sudden I am
surprised to find, that instead of the usual copulations
of propositions, is, and is not, I meet with no
proposition that is not connected with an ought, or an
ought not. This change is imperceptible; but is however,
of the last consequence. For as this ought, or ought
not, expresses some new relation or affirmation, 'tis
necessary that it should be observed and explained;
and at the same time that a reason should be given; for
what seems altogether inconceivable, how this new
relation can be a deduction from others, which are
entirely different from it. But as authors do not
commonly use this precaution, I shall presume to
recommend it to the readers; and am persuaded, that
this small attention would subvert all the vulgar systems
of morality, and let us see, that the distinction of vice
and virtue is not founded merely on the relations of
objects, nor is perceived by reason.
David Hume. A Treatise of Human Nature (1739). Book
2, Part 1, Section 1.
THE VIENNA
CIRCLE

STATEMENTS OF TRUTH

Theodor Bauer. Moritz Schlick (1882-1936). ca. 1930. Österreichische
Nationalbibliothek. Austria. Inventarnummer: Pf 29.355:E(1)
There are only two types of valid
philosophical/scientific
statements:

THE VIENNA
CIRCLE

STATEMENTS OF TRUTH

1. Statements and inferences
that are logically true or false
(e.g. 2+2=4; “All bachelors
are unmarried men”; or “All
men are mortal; Socrates is a
man; therefore, Socrates is
mortal.)
2. Statements that are empirical
and can be verified (e.g. Water
boils at 100 degrees Celsius.)
• Derived from the work of
There are only two types of valid
philosophical/scientific
statements:
1. Statements and inferences
that are logically true or false
(e.g. 2+2=4; “All bachelors
are unmarried men”; or “All
men are mortal; Socrates is a
man; therefore, Socrates is
mortal.)
2. Statements that are empirical
and can be verified (e.g. Water
boils at 100 degrees Celsius.)

Bertrand Russell and
Ludwig Wittgenstein

• These statements are

tautologies and give no
facts about the external
world

• Their significance is in the
order that they bring to
language or mathematics
(e.g. their internal logic
and consistency)
• Some of the logical
There are only two types of valid
philosophical/scientific
statements:
1. Statements and inferences
that are logically true or false
(e.g. 2+2=4; “All bachelors
are unmarried men”; or “All
men are mortal; Socrates is a
man; therefore, Socrates is
mortal.)
2. Statements that are empirical
and can be verified (e.g. Water
boils at 100 degrees Celsius.)

positivists, as this school
became known, argued
that even mathematics
was an inconsistent and
often paradoxical system.

• Kurt Gödel’s

“Incompleteness
Theorems” of 1931

• Strong influence of the

Copenhagen school of
physics, dominated by
Neils Bohr and Werner
Heisenberg, which in the
1920s developed
quantum mechanics (e.g.
Heisenberg’s uncertainty
principle)
There are only two types of valid
philosophical/scientific
statements:
1. Statements and inferences
that are logically true or false
(e.g. 2+2=4; “All bachelors
are unmarried men”; or “All
men are mortal; Socrates is a
man; therefore, Socrates is
mortal.)
2. Statements that are empirical
and can be verified (e.g. Water
boils at 100 degrees Celsius.)

• This excludes substantial

categories of philosophy,
such as ethics, which are
unable to be verified.
The criterion that

THE VIENNA
CIRCLE

KARL POPPER’S CRITICISM

meaningful=analytic or
verifiable
is neither logically true or false
nor empirically verifiable.
Therefore, according to the
logical positivist’s position, it is
a meaningless principle.
THE VIENNA
CIRCLE

KARL POPPER’S CRITICISM

We should focus our attention
on things that are empirically
meaningful, such as the truth of
scientific ideas.
However, to do this, we need to
distinguish between those
things that are science and
those things that are not
science.
SCIENCE AND
PSEUDOSCIENCE

KARL POPPER ON MARX,
FREUD, AND EINSTEIN

Karl Popper. ca. 1980. Archives of the London School of Economics.
http://archives.lse.ac.uk/record.aspx?src=CalmView.Catalog&id=IMAGELIBRARY%2f5
WHAT IS THE DIFFERENCE
BETWEEN ASTRONOMY AND
ASTROLOGY?
Possible areas of
demarcation
• disciplinarity (structure of

DEMARCATION

WHAT IS THE DIFFERENCE
BETWEEN ASTRONOMY AND
ASTROLOGY?

knowledge and
professionalization)
• theory
• practice
• scientific problems or
questions
• ethos
• historical context
FALSIFICATION

POPPER AND FALSIFICATION

“Insofar as a scientific
statement speaks about
reality, it must be
falsifiable; and insofar
as it is not falsifiable, it
does not speak about
reality.”
Karl Popper, The Logic of Scientific
Discovery,1959 edition, appendix 1.
• Edmonds, David and John Eidinow,

Wittgenstein's Poker: The Story of a
Ten-Minute Argument Between Two
Great Philosophers (Harper Collins,
2001).

FURTHER
READING

SCIENCE AND
PSEUDOSCIENCE

• Hansson, Sven Ove, "Science and

Pseudo-Science", The Stanford
Encyclopedia of Philosophy (Winter
2012 Edition), Edward N. Zalta
(ed.), URL =
<http://plato.stanford.edu/archives
/win2012/entries/pseudoscience/>.

• Pigliucci, Massimo and Maarten

Boudry, eds., Philosophy of
Pseudoscience: Reconsidering the
Demarcation Problem (Chicago:
University of Chicago Press, 2013)

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What is Science?

  • 1. WHAT IS SCIENCE? HISTORY OF SCIENCE AND TECHNOLOGY SINCE 1750 JASON M. KELLY PHD FSA JASKELLY@IUPUI.EDU | @JASON_M_KELLY
  • 2. EPISTEMOLOGY HOW DO WE KNOW THE WORLD? Dave Coverly. Speed Bump. Used according to the educational fair use guidelines provided by the Cartoonist Group. This image is copyright protected. The copyright owner reserves all rights.
  • 4. 2+2=4 a priori = knowledge independent from sensory experience (e.g. mathematics or logic) a posteriori = knowledge derived from sensory experience All bachelors are unmarried. If A is greater than B, and B is greater than C, then A is greater than C. There are four apples in the bag. Some bachelors are unhappy. The Boeing 747 is larger than the Boeing 727.
  • 5. Rationalist Variants (derived from http://plato.stanford.edu/entries/rationalism-empiricism/) 1. The Intuition/Deduction Thesis: Some propositions in a particular subject area, S, are knowable by us by intuition alone; still others are knowable by being deduced from intuited propositions. 2. The Innate Knowledge Thesis: We have knowledge of some truths in a particular subject area, S, as part of our rational nature. 3. The Innate Concept Thesis: We have some of the concepts we employ in a particular subject area, S, as part of our rational nature. • The Indispensability of Reason Thesis: The knowledge we gain in subject area, S, by intuition and deduction, as well as the ideas and instances of knowledge in S that are innate to us, could not have been gained by us through sense experience. • The Superiority of Reason Thesis: The knowledge we gain in subject area S by intuition and deduction or have innately is superior to any knowledge gained by sense experience. All rationalist arguments are one of these three types
  • 7. CAUSATION DAVID HUME ON CAUSE AND EFFECT The mind can never possibly find the effect in the supposed cause, by the most accurate scrutiny and examination. For the effect is totally different from the cause, and consequently can never be discovered in it. Motion in the second billiard ball is a quite distinct event from the motion in the first. Nor is there anything in the one to suggest the smallest hint of the other. A stone or piece of metal raised into the air, and left without any support immediately falls: but to consider the matter a priori, is there anything we discover in this situation which can beget the idea of a downward, rather than an upward, or any other motion, in the stone or metal? David Hume. An Enquiry Concerning Human Understanding (1772) http://www.youtube.com/watch?v=-tZ6L7QNFws
  • 8. As Bertrand Russell explained more succinctly: CAUSATION DAVID HUME ON CAUSE AND EFFECT “The man who has fed the chicken every day throughout its life at last wrings its neck instead, showing that more refined views as to the uniformity of nature would have been useful to the chicken.” Bertand Russell, “On Induction” in The Problems of Philosophy (1912) http://www.youtube.com/watch?v=-tZ6L7QNFws
  • 9. Correlation does not imply causation CAUSATION COINCIDENCE, CORRELATION, CONSTANT CONJUNCTION Stephen R. Johnson, “The Trouble with QSAR (or How I Learned To Stop Worrying and Embrace Fallacy),” Journal of Chemical Information and Modelling 48:1 (2008): 25–26.
  • 10. IS AND OUGHT STATEMENTS OF FACT AND VALUE In every system of morality, which I have hitherto met with, I have always remarked, that the author proceeds for some time in the ordinary ways of reasoning, and establishes the being of a God, or makes observations concerning human affairs; when all of a sudden I am surprised to find, that instead of the usual copulations of propositions, is, and is not, I meet with no proposition that is not connected with an ought, or an ought not. This change is imperceptible; but is however, of the last consequence. For as this ought, or ought not, expresses some new relation or affirmation, 'tis necessary that it should be observed and explained; and at the same time that a reason should be given; for what seems altogether inconceivable, how this new relation can be a deduction from others, which are entirely different from it. But as authors do not commonly use this precaution, I shall presume to recommend it to the readers; and am persuaded, that this small attention would subvert all the vulgar systems of morality, and let us see, that the distinction of vice and virtue is not founded merely on the relations of objects, nor is perceived by reason. David Hume. A Treatise of Human Nature (1739). Book 2, Part 1, Section 1.
  • 11. THE VIENNA CIRCLE STATEMENTS OF TRUTH Theodor Bauer. Moritz Schlick (1882-1936). ca. 1930. Österreichische Nationalbibliothek. Austria. Inventarnummer: Pf 29.355:E(1)
  • 12. There are only two types of valid philosophical/scientific statements: THE VIENNA CIRCLE STATEMENTS OF TRUTH 1. Statements and inferences that are logically true or false (e.g. 2+2=4; “All bachelors are unmarried men”; or “All men are mortal; Socrates is a man; therefore, Socrates is mortal.) 2. Statements that are empirical and can be verified (e.g. Water boils at 100 degrees Celsius.)
  • 13. • Derived from the work of There are only two types of valid philosophical/scientific statements: 1. Statements and inferences that are logically true or false (e.g. 2+2=4; “All bachelors are unmarried men”; or “All men are mortal; Socrates is a man; therefore, Socrates is mortal.) 2. Statements that are empirical and can be verified (e.g. Water boils at 100 degrees Celsius.) Bertrand Russell and Ludwig Wittgenstein • These statements are tautologies and give no facts about the external world • Their significance is in the order that they bring to language or mathematics (e.g. their internal logic and consistency)
  • 14. • Some of the logical There are only two types of valid philosophical/scientific statements: 1. Statements and inferences that are logically true or false (e.g. 2+2=4; “All bachelors are unmarried men”; or “All men are mortal; Socrates is a man; therefore, Socrates is mortal.) 2. Statements that are empirical and can be verified (e.g. Water boils at 100 degrees Celsius.) positivists, as this school became known, argued that even mathematics was an inconsistent and often paradoxical system. • Kurt Gödel’s “Incompleteness Theorems” of 1931 • Strong influence of the Copenhagen school of physics, dominated by Neils Bohr and Werner Heisenberg, which in the 1920s developed quantum mechanics (e.g. Heisenberg’s uncertainty principle)
  • 15. There are only two types of valid philosophical/scientific statements: 1. Statements and inferences that are logically true or false (e.g. 2+2=4; “All bachelors are unmarried men”; or “All men are mortal; Socrates is a man; therefore, Socrates is mortal.) 2. Statements that are empirical and can be verified (e.g. Water boils at 100 degrees Celsius.) • This excludes substantial categories of philosophy, such as ethics, which are unable to be verified.
  • 16. The criterion that THE VIENNA CIRCLE KARL POPPER’S CRITICISM meaningful=analytic or verifiable is neither logically true or false nor empirically verifiable. Therefore, according to the logical positivist’s position, it is a meaningless principle.
  • 17. THE VIENNA CIRCLE KARL POPPER’S CRITICISM We should focus our attention on things that are empirically meaningful, such as the truth of scientific ideas. However, to do this, we need to distinguish between those things that are science and those things that are not science.
  • 18. SCIENCE AND PSEUDOSCIENCE KARL POPPER ON MARX, FREUD, AND EINSTEIN Karl Popper. ca. 1980. Archives of the London School of Economics. http://archives.lse.ac.uk/record.aspx?src=CalmView.Catalog&id=IMAGELIBRARY%2f5
  • 19. WHAT IS THE DIFFERENCE BETWEEN ASTRONOMY AND ASTROLOGY?
  • 20. Possible areas of demarcation • disciplinarity (structure of DEMARCATION WHAT IS THE DIFFERENCE BETWEEN ASTRONOMY AND ASTROLOGY? knowledge and professionalization) • theory • practice • scientific problems or questions • ethos • historical context
  • 21. FALSIFICATION POPPER AND FALSIFICATION “Insofar as a scientific statement speaks about reality, it must be falsifiable; and insofar as it is not falsifiable, it does not speak about reality.” Karl Popper, The Logic of Scientific Discovery,1959 edition, appendix 1.
  • 22. • Edmonds, David and John Eidinow, Wittgenstein's Poker: The Story of a Ten-Minute Argument Between Two Great Philosophers (Harper Collins, 2001). FURTHER READING SCIENCE AND PSEUDOSCIENCE • Hansson, Sven Ove, "Science and Pseudo-Science", The Stanford Encyclopedia of Philosophy (Winter 2012 Edition), Edward N. Zalta (ed.), URL = <http://plato.stanford.edu/archives /win2012/entries/pseudoscience/>. • Pigliucci, Massimo and Maarten Boudry, eds., Philosophy of Pseudoscience: Reconsidering the Demarcation Problem (Chicago: University of Chicago Press, 2013)