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The Six Category Ontology:
BFO and Its Applications
Barry Smith
Durham, May 21, 2013
Fantology
The doctrine, usually tacit, according to
which „Fa‟ (and „Rab‟) is the key to the
ontological structure of reality
The syntax of first-order predicate logic is a
mirror of reality (a Leibnizian universal
characteristic)
http://ontology.buffalo.edu/bfo/Against_Fantology.pdf
2
3
For the fantologist
“F(a)”, “R(a, … , b)” is the language for
ontology
This language reflects the structure of
reality
The fantologist sees reality as being made
up of individuals (a, b, c, …) plus abstract
(1- and n-place) „properties‟ or „attributes‟
Fantology
Wittgenstein: Propositions show the logical
form of reality. They display it. (4.121)
Russell: logic is concerned with the real
world just as truly as zoology, though with
its more abstract and general features.
(1919)
Armstrong: the spreadsheet ontology*
* “Vérités et vérifacteurs” (2004) 4
5
F G H I J K L M N O P Q R S T U V
a
b
c
d
e
f
g
h
i
j
k
6
F G H I J K L M N O P Q R S T U V
a x x x x x
b
c
d
e
f
g
h
i
j
k
7
F G H I J K L M N O P Q R S T U V
a x x x x x
b x x x x x
c
d
e
f
g
h
i
j
k
8
F G H I J K L M N O P Q R S T U V
a x x x x x
b x x x x x
c x x x x x
d x x
e
f
g
h
i
j
k
and so on …
9
Fantology
tends to make you believe in some future
state of „total science‟
when the values of „F‟ and „a‟, all of them,
will be revealed to the elect
All true ontology is the ontology of a future
perfected physics of ultimate atoms
(Armstrong: all examples proving my
ontology is wrong will be shown to
belong merely to the „manifest image‟)
10
Varieties of fantology
„F‟ stands for a property
„a‟ stands for an individual
Platonistic: the Fs belong to something
like the Platonic realm of forms
Set-theoretic: the Fs are sets of
individuals which F
Nominalistic: „F‟ is just a predicate
11
The Spreadsheet Ontology
Substances Attributes
Universals Properties
Particulars Particulars
12
A slightly more sophisticated
Armstrongian view
Substances Attributes
Universals
Properties and
Relations
Particulars Particulars
13
Generic Fantology
Individuals Attributes
Attributes
F( ), G( ),
R( , ... , )
Individuals
a, b, c
this, that
UniversalParticular
14
Quine
Individuals Attributes
Attributes
F( ), G( ), R( , ... , )
(no ontological status)
Individuals
a, b, c
this, that
UniversalParticular
15
Nominalist Fantology (1CO)
To understand properties is to understand
predication
If John is white, there is no extra entity,
John„s whiteness
If John is a man, there is no extra entity,
John„s humanity
-- modes and kinds and attributes are all
ontologically in the same boat
16
Bicategorial Nominalism
(Peter Simons)
Substantial Accidental
First substance
this man
this cat
this ox
Tropes
this headache
this sun-tan
this dread
UniversalParticular
17
Aristotle’s Ontological Square
(Husserl, Lowe, …)
Substantial Accidental
Second substance
man
cat
ox
Second accident
headache
sun-tan
dread
First substance
this man
this cat
this ox
First accident
this headache
this sun-tan
this dread
UniversalParticular
18
Aristotle’s two kinds of
predication
Predication in the category of substance:
• John is a man, Henry is an ox
Predication in the category of accident:
• John is hungry, Henry is asleep, John
is wise
19
For Fantology
these two types of predication are often
confused
For Armstrong: property universals are all
we need
no need for kind universals
(Armstrong‟s four-dimensionalism implies
that there are no substances)
Husserl, Lowe, etc., tell us that
there is a third kind of predication
John is a man
John is hungry
John has a headache (John has this headache)
20
Husserl, Lowe, etc., tell us that
there is a third kind of predication
John is a man
John is hungry
John has a headache (John has this headache)
21
Husserl, Lowe, etc., tell us that
there is a third kind of predication
John is a man
John is hungry
John has a headache (John has this headache)
22
Husserl, Lowe, etc., tell us that
there is a third kind of predication
John is a man
John is hungry
John has a headache (John has this headache)
23
From 4CO to 6CO
24
Three FOL ways of treating
temporally indexed predication
„F holds of a at t‟:
(1) F holds-at-t of object a (the copula is
indexed by times; F holds t-ly) (adverbial
view)
(2) F is a relation between object a and time t;
(3) F holds of a new special entity called „at‟or
„a-at-t‟ (an object stage or phase or slice)
(four-dimensionalism)
25
I agree with Jonathan in accepting the
adverbial alternative (1)
Lowe*: (1) has “been overlooked, at least by
philosophers trained to think in terms of
the categories of modern quantification or
predicate logic, as it is called. For such
logic simply has no place for adverbs.”
* A Survey of Metaphysics, 2002, p. 47
26
But now Jonathan himself seems
to do too little justice to the ways
adverbs, other than t-ly, are used
in natural language
27
4CO plus temporal indexing still
cannot deal with adverbs
Consider a simple change of property in an
ordinary object:
a ball undergoes a change of shape.
At t1 there is one shape-mode
At t2 there is another shape-mode.
Cf. Johansson, Review of Lowe, Dialectica 60 (4)
28
4CO cannot deal with change
Lowe can assert: both these modes instantiate
shape universals and inhere in the same ball, and
as a two-plurality the modes instantiate the
temporal relation „coming after‟.
But more must be said: a simple sum of relations of
instantiations of shapes, inherences of shape
modes, and the external relation of coming-after
lacks the temporal unity characteristic of
changes and other processes (such as
squeezings, surgical procedures, heart attacks,
conversations, ontology lectures …).
29
4+2CO
Event talk is common in natural language
… but there is no fundamental category of
being called „event‟
… if events exist at all, then they supervene
on talk about objects and modes changing
The two extra categories in what follows
should be interpreted by Lowe-ists in this
spirit
30
31
A better view
6CO = there are objects, qualities and
processes at the level of both universals and
instances
Processes, like qualities, are dependent on
substances
• one-place processes:
getting warmer, getting hungrier
• relational processes:
kissings, thumpings, conversations, dances
32
6CO (Ellis, BFO)
Substances Quality entities Processes
Universals
Substance-
universals
Quality-
universals
Process-
universals
Particulars
Individual
Substances
Quality-
instances
(Tropes…)
Process-
instances
provides resources to understand
important ontological alternatives
33
Process nominalism
(Heraclitus, Whitehead, …)
Substances Qualities Processes
Universals
Particulars Flux
34
Trope nominalism
(Simons, again)
Substances Qualities Processes
Universals
Particulars Tropes, bundles
35
Quine
Individuals Attributes
Predicates
F( ), G( ),
R( , ... , )
Individuals
a, b, c
this, that
UniversalParticular
36
Davidson
Substances Qualities Processes
Universals
Predicates (including
adverbial predicates):
F( ), G( ), R( , ... , )
Particulars Objects Events
41
For extreme fantologists ‘a’ leaves no
room for ontological complexity
From this it follows:
that fantology cannot do justice to the
existence of different levels of granularity of
reality
more generally, that fantology is conducive to
and conduced by reductionism in philosophy
from “Against Fantology”, in: M. E. Reicher, J. C. Marek (Eds.),
Experience and Analysis, 2005, Vienna: ÖBV-HPT, 153-170
59
one problem with 4CO
60
“Against Fantology”, in: M. E. Reicher, J. C. Marek (Eds.),
Experience and Analysis, Vienna, 2005,
http://ontology.buffalo.edu/bfo/Against_Fantology.pdf 61
6CO Applied
Basic Formal Ontology
72
Applied Ontology 1. Biology
Plant Ontology
“Ontologies as Integrative Tools for Plant Science”,
American Journal of Botany, 99(8): 2012.
Protein Ontology
“The Protein Ontology: A Structured
Representation of Protein Forms and
Complexes”, Nucleic Acids Research, 39: 2011.
Cell Ontology
“Logical development of the Cell Ontology”, BMC
Bioinformatics 12(6): 2011.
73
FMA
Pleural
Cavity
Interlobar
recess
Mesothelium
of Pleura
Pleura(Wall
of Sac)
Visceral
Pleura
Pleural Sac
Parietal
Pleura
Anatomical Space
Organ
Cavity
Serous Sac
Cavity
Anatomical
Structure
Organ
Serous Sac
Mediastinal
Pleura
Tissue
Organ Part
Organ
Subdivision
Organ
Component
Organ Cavity
Subdivision
Serous Sac
Cavity
Subdivision
Foundational Model of Anatomy
74
Applied Ontology 2. Medicine
Infectious Disease Ontology
“Infectious Disease Ontology”, in Sintchenko (ed.),
Infectious Disease Informatics, Springer, 2009.
Foundational Model of Anatomy
“A Reference Ontology for Bioinformatics: The
Foundational Model of Anatomy”, Journal of Biomedical
Informatics, 36, 2003.
Mental Disease Ontology
“Foundations for a Realist Ontology of Mental Disease”,
Journal of Biomedical Semantics, 1(10), 2010
75
Applied Ontology 3. Finance
XBRL = eXtensible Business Reporting
Language
government mandated syntax for all
reports to SEC
extensibility defeats comparability of data
76http://financialreportontology.wikispaces.com/
Financial Report Ontology (FRO)
77
Applied Ontology 4. Defense
US Army Intelligence and Information
Warfare Directorate (I2WD)
“Ontology for the Intelligence Analyst”, CrossTalk:
The Journal of Defense Software Engineering,
November/December, 2012, 18-25.
78
79
80
Why do people in the military think
they need lexicons
• Training
• Compiling lessons learned from former engagements
• Compiling results of testing, e.g. of proposed new
doctrine
• Collective inferencing
• Official reporting
• Doctrinal development
• Joint operations
• Standard operating procedures
• People need to share data
• People need to (ensure that they) understand each
other
But each community produces its own ontology,
this will merely create new, semantic siloes
Fire
Support
LogisticsAir
Operations
Intelligence
Civil-Military
Operations
Targeting
Maneuver
&
Blue
Force
Tracking
82
The problem with (actually existing)
lexicons
• They promote the development of silos (roach
motels for data)
• They do not allow us to exploit today’s
technologies
• They do not combine natural language
understandability with computational
adequacy
• They do not scale
83
84
85
US DoD Civil Affairs strategy for non-classified
information sharing
86
Military is 10 years behind the times when it
comes to resolving data interoperability
problems
– where the problems of Big Data in
biomedicine were recognized already in 1998
87
The Gene Ontology (1999)
response to the massive opportunities
created by the success of the Human
Genome Project
for cross-organism biology
for intra-organism biology
for the biology of environments
88
The Gene Ontology
MouseEcotope GlyProt
DiabetInGene
GluChem
89
The Gene Ontology
MouseEcotope GlyProt
DiabetInGene
GluChem
sphingolipid
transporter
activity
90
The Gene Ontology
MouseEcotope GlyProt
DiabetInGene
GluChem
Holliday junction
helicase complex
91
The Gene Ontology
MouseEcotope GlyProt
DiabetInGene
GluChem
sphingolipid
transporter
activity
92
International System of Units
93
How to find your data?
How to reason with data when you find it?
How to understand the significance of the data
you collected 3 years earlier?
How to integrate with other people’s data?
Part of the solution must involve consensus-
based, standardized terminologies and coding
schemes
94
Unifying goal: integration of biological
and clinical data
– within and across domains
– across different species
– across levels of granularity (organ,
organism, cell, molecule)
– across different perspectives (physical,
biological, clinical)
96
Ontologies
• are computer-tractable representations of
types in specific areas of reality
• are more and less general (upper and lower
ontologies)
– upper = organizing ontologies
– lower = domain ontologies
97
Ontologies must be comparable
• if we have multiple, redundant ontologies for
a given domain, then this will recreate the
very problem of siloes which ontology
technology was designed to
• to ensure non-redundancy, ontologies must
be comparable
• to enhance comparability ontologies should
share a common upper level architecture
98
Anatomy Ontology
(FMA*, CARO)
Environment
Ontology
(EnvO)
Infectious
Disease
Ontology
(IDO*)
Biological
Process
Ontology (GO*)
Cell
Ontology
(CL)
Cellular
Component
Ontology
(FMA*, GO*) Phenotypic
Quality
Ontology
(PaTO)
Subcellular Anatomy Ontology (SAO)
Sequence Ontology
(SO*) Molecular
Function
(GO*)Protein Ontology
(PRO*)
Extension Strategy + Modular Organization 99
top level
mid-level
domain
level
Information Artifact
Ontology
(IAO)
Ontology for
Biomedical
Investigations
(OBI)
Spatial Ontology
(BSPO)
Basic Formal Ontology (BFO)
Continuant Occurrent
Independent
Continuant
Dependent
Continuant
cell component
biological process
molecular function
Basic Formal Ontology
100
Anatomy Ontology
(FMA*, CARO)
Environment
Ontology
(EnvO)
Infectious
Disease
Ontology
(IDO*)
Biological
Process
Ontology (GO*)
Cell
Ontology
(CL)
Cellular
Component
Ontology
(FMA*, GO*) Phenotypic
Quality
Ontology
(PaTO)
Subcellular Anatomy Ontology (SAO)
Sequence Ontology
(SO*) Molecular
Function
(GO*)Protein Ontology
(PRO*)
OBO Foundry: Downward Population from BFO
top level
mid-level
domain
level
Information Artifact
Ontology
(IAO)
Ontology for
Biomedical
Investigations
(OBI)
Spatial Ontology
(BSPO)
Basic Formal Ontology (BFO)
101/24
Example: The Cell Ontology
continuant
independent
continuant
portion of
material
object
fiat object
part
object
aggregate
object
boundary
site
dependent
continuant
generically
dependent
continuant
information
artifact
specifically
dependent
continuant
quality
realizable
entity
function
role
disposition
spatial
region
0D-region
1D-region
2D-region
3D-region
BFO:continuant
occurrent
processual
entity
process
fiat process
part
process
aggregate
process
boundary
processual
context
spatiotemporal
region
scattered
spatiotemporal
region
connected
spatiotemporal
region
spatiotemporal
instant
spatiotemporal
interval
temporal
region
scattered
temporal
region
connected
temporal
region
temporal
instant
temporal
interval
BFO:occurrent
More than 100 Ontology
projects using BFO
http://www.ifomis.org/bfo/users
One argument against 4CO
and 8CO: BFO has more users
Some Ontologies Built from BFO
• AFO Foundational Ontology
• US Army Biometrics Ontology
• BioTop: A Biomedical Top-Domain Ontology
• Cell Ontology (CL)
• Chemical Entities of Biological Interest (ChEBI)
• Common Anatomy Reference Ontology (CARO)
• Drug Interaction Ontology (DIO)
• Foundational Model of Anatomy (FMA)
• Gene Ontology (GO)
• Infectious Disease Ontology (IDO)
• Neuroscience Information Framework Standard (NIFSTD) Ontology
• Ontology for Biomedical Investigations (OBI)
• Protein Ontology (PRO)
• Sequence Ontology (SO)
• Universal Core Semantic Layer (UCore SL)
• Subcellular Anatomy Ontology (SAO)
• Zebrafish Anatomical Ontology (ZAO) 106
DOLCE, SUMO, Cyc
DOLCE: 6CO (largely) compatible with BFO,
but built to support „linguistic and cognitive
engineering‟ – there to describe people‟s
assumptions people have about reality
(ethno-Quineanism)
SUMO: 2CO (no diabetes, no temperature
instances); SUMO has its own tiny biology
(„body-covering‟, „fruit-Or-vegetable‟); not a
true top level
Cyc: Allows inconsistent microtheories
(embraces chaos) 107
Cyc:ConceivingSomething_Biological
ReproductionEvent =def a collection of events; a
sub-collection of BiologicalReproductionEvent. In
each conceivingSomething_BiologicalReproduction
Event, someone becomes pregnant.
Cyc:The immaculate conception =def. The
ConceivingSomething_BiologicalReproductionEvent
in which Mary_MotherOfJesus was conceived.
Catholic dogma holds that Mary (unlike Jesus) was
conceived by conventional biological means, but
that GodOfAbrahamIsaacAndJacob interceded at
the time of her conception to keep her free from the
stain of original sin, or „immaculate‟.
108
Basic Formal Ontology
Continuant Occurrent
process, event
Independent
Continuant
thing
Dependent
Continuant
quality
.... .... .......
types
instances
1
654
3
2
Blinding Flash of the Obvious
Continuant Occurrent
process, event
Independent
Continuant
thing
Dependent
Continuant
quality
.... ..... .......
quality depends
on bearer
Blue Force Overwatch
Continuant Occurrent
process, event
Independent
Continuant
thing
Dependent
Continuant
quality, …
.... ..... .......
event depends
on participant
Occurrents depend on participants
instances
15 May bombing
5 April insurgency attack
occurrent types
bombing
attack
participant continuant types
explosive device
terrorist group
General rules for ontology development
incorporated into BFO
Common traffic laws
Lessons learned and disseminated as
common guidelines – all developers are
doing it the same way
Tools built for BFO ontologies can be re-
used by others
Expertise developed in working with one
BFO ontology can be-used with others
Basic Formal Ontology (Top Level)
http://www.ifomis.org/bfo/
Continuant Occurrent
Independent
Continuant
Dependent
Continuant
Anatomical
Structure
Process
Stage
Quality
114
this particular case
of redness (of a
particular fly eye)
the universal red
instantiates
an instance of eye
(in a particular fly)
the universal eye
instantiates
depends_
on
115Phenotype Ontology (PATO)
the particular case
of redness (of a
particular fly eye)
red
instantiates
an instance of an
eye (in a particular
fly)
eye
instantiates
depends
on
color anatomical structure
is_a is_a
116
independent
continuant
dependent
continuant
quality
temperature
organism
John
John’s
temperature
occurrent
process
life of an
organism
John’s
life
117
A chart representing how
John’s temperature changes
118
A chart representing how
John’s temperature changing
119
temperature
John’s temperature
120
37ºC 37.1ºC 37.5ºC37.2ºC 37.3ºC 37.4ºC
instantiates
at t1
instantiates
at t2
instantiates
at t3
instantiates
at t4
instantiates
at t5
instantiates
at t6
temperature
John’s temperature (exists continuously)
121
37ºC 37.1ºC 37.5ºC37.2ºC 37.3ºC 37.4ºC
instantiates
at t1
instantiates
at t2
instantiates
at t3
instantiates
at t4
instantiates
at t5
instantiates
at t6
in nature, no sharp
boundaries here
in nature, no sharp
boundaries here
disease
coronary
heart disease
genetic heart
disease
disposition
infective
endocarditis
realizable
dependent continuant
coronary heart
disease
John’s coronary heart disease (exists continuously)
123
asymptomatic
(„silent‟)
infarction
early lesions
and small
fibrous plaques
stable
angina
surface
disruption of
plaque
unstable
angina
instantiates
at t1
instantiates
at t2
instantiates
at t3
instantiates
at t4
instantiates
at t5
time
independent
continuant
dependent
continuant
disposition
heart
disease
organism
John
John’s
heart disease
occurrent
process
heart disease
course
John’s
heart disease course
124
So why not 8CO (à la Schneider)?
125
Substances Qualities Processes
Process
qualities
Universals
Substance-
universals
Quality-
universals
Process-
universals
Process
qualities
Particulars
Individual
Substances
Quality-
instances
(Tropes…)
Process-
instances
Process
quality
instances
independent
continuant
dependent
continuant
disposition
heart
disease
organism
John
John’s
heart disease
occurrent
process
heart disease
course
John’s
heart disease course
126
process
pattern
independent
continuant
dependent
continuant
disposition
heart
disease
organism
John
John’s
heart disease
occurrent
process
heart disease
course
John’s
heart disease
course
127
process
pattern
John’s
heart disease
course pattern
?
independent
continuant
dependent
continuant
disposition
heart
disease
organism
John
John’s
heart disease
occurrent
process
heart
disease
course
John’s
heart disease course
128
process
pattern
chronic
process
pattern
chronic heart
disease
course pattern
129
occurrent
process
heart
disease
course
John’s
heart
disease
course 129
process
pattern
chronic
process
pattern
chronic heart
disease
course pattern
occurrent
process
heart
disease
course
John’s
heart disease course
process
pattern
chronic
process
pattern
chronic heart
disease
course pattern
John’s chronic
heart
disease
course pattern
occurrent
process
heart
disease
course
John’s
heart
disease
course
process
quality
chronic
process
quality
chronic heart
disease
course quality
occurrent
process
heart
disease
course
John’s
heart disease course
process
quality
chronic
process
quality
chronic heart
disease
course quality
John’s chronic
heart
disease
course quality
Dependent
Continuant
Quality
Realizable
131
Different subtypes of
BFO:dependent continuant
function
role disposition
Roles pertain not to what a thing enduringly is,
but to the part it plays, e.g. in some operation
Continuant
Occurrent
process, eventIndependent
Continuant
thing
Realizable
Dependent
Continuant
(e.g. chef role)
.... ..... .......
realization-of

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The Six Category Ontology: Basic Formal Ontology and Its Applications

Editor's Notes

  1. from Gerard Christman