SlideShare a Scribd company logo
1 of 9
Elements of Epistemology Chapter IICorpus Aristotelicum Aristotle's school buildingin Macedonia Corpus Aristotelicum  The collected works of Aristotle (384-322),Corpus Aristotelicum, are divided into logic, physics, and metaphysics. The metaphysics consists of teleology, epistemology, cosmology, ontology, and ethics. Aristotle thought that every entity in the universe moves toward a goal, teleos, inherent in its nature.  The principle subjects of teleology thus are development and change. Materialists understood these as mutually interconnected causal chains of events. The idealists think that these chains of events have been initiated and guided by a spiritual, supernatural being. From these deliberations, philosophy developed along two parallel lines. One is realistic and secular, the other is idealistic and religious.  The realistic tradition maintains that the concept of supernatural original cause is redundant, unnecessary to understand our world and the meaning of our existence. The idealistic tradition maintains that in order to understand the world and the meaning of our existence, the concept of God is necessary. The next question then is, does God exist? This used to be the central question of epistemology, the Greek episteme meaning 'to know.' Aristotle's Diagrams Aristotle viewed the Universe as a series of concentric spheres. Geosphere (Earth at the center of the Universe)    Hydrosphere (Earth's oceans)    Atmosphere (Air surrounding the Earth)    Pyrosphere (Sphere generating lightning)    Stellarsphere (Stars above the Earth) with the prime mover (the first cause) initiating their spinning motion. Teilhard de Chardin (1881-1955) replaced the Aristotle's pyrosphere with his concept ofnoosphere. He reasoned that while evolution diversified the living forms,  humankind reversed this divergent process  into a convergent one. While many species are on the verge of extinction, the diverse human cultures are converging toward the omega point. Teilhard de Chardin predicted that after reaching the omega point, humankind will cover the Earth's surface with collective human consciousness, the noosphere (from Greek noos, mind), superimposed on the already-existingbiosphere. He elaborated these concepts in a series of manuscripts (published after his death in books The Phenomenon of Man (1955), The Divine Milieu (1957),The Future of Man (1959), and Hymn of the Universe (1964)). When these manuscripts were discovered in his study, Professor's Chardin was fired from his teaching post and left for China. Pierre de Chardin did not live long enough to witness the emergence of the Internet, which some believe hold the promise to become his noosphere. Aristotle's Logic   An example of Aristotle's writing on this subject follows. An affirmation is the statement of a fact with regard to a subject, and this subject is either a noun or that which has no name; the subject and predicate in an affirmation must each denote a single thing.  I have already explained' what is meant by a noun and by that which has no name; for I stated that the expression 'not-man' was not a noun, in the proper sense of the word, but an indefinite noun, denoting as it does in a certain sense a single thing.  Similarly the expression 'does not enjoy health' is not a verb proper, but an indefinite verb. Every affirmation, then, and every denial, will consist of a noun and a verb, either definite or indefinite.    There can be no affirmation or denial without a verb; for the expressions 'is', 'will be', 'was', 'is coming to be', and the like are verbs according to our definition, since besides their specific meaning they convey the notion of time.  Thus the primary affirmation and denial are 'as follows: 'man is', 'man is not'.  Next to these, there are the propositions:  'not-man is', 'not-man is not'. Again we have the propositions: 'every man is, 'every man is not', 'all that is not-man is', 'all that is not-man is not'.  The same classification holds good with regard to such periods of time as lie outside the present.    When the verb 'is' is used as a third element in the sentence, there can be positive and negative propositions of two sorts.  Thus in the sentence 'man is just' the verb 'is' is used as a third element, call it verb or noun, which you will.  Four propositions, therefore, instead of two can be formed with these materials. Two of the four, as regards their affirmation and denial, correspond in their logical sequence with the propositions which deal with a condition of privation; the other two do not correspond with these.    I mean that the verb 'is' is added either to the term 'just' or to the term 'not-just', and two negative propositions are formed in the same way.  Thus we have the four propositions. Reference to the subjoined table will make matters clear:     A. Affirmation     B. DenialMan is just        Man is not just                      /                       X                     /   . Denial           C. Affirmation        Not every man is not-just        Every man is not-just Yet here it is not possible, in the same way as in the former case, that the propositions joined in the table by a diagonal line should both be true; though under certain circumstances this is the case.   We have thus set out two pairs of opposite propositions; there are moreover two other pairs, if a term be conjoined with 'not-man', the latter forming a kind of subject. Thus:  A.
                                B.
 Not-man is just                         Not-man is no     /   X         D.   /        C.
 Not-man is not not-just   Not-man is not-just  This is an exhaustive enumeration of all the pairs of opposite propositions that can possibly be framed. Trinity 21.9.09
Elements Of Epistemology ~ Chapter 2
Elements Of Epistemology ~ Chapter 2
Elements Of Epistemology ~ Chapter 2
Elements Of Epistemology ~ Chapter 2
Elements Of Epistemology ~ Chapter 2
Elements Of Epistemology ~ Chapter 2
Elements Of Epistemology ~ Chapter 2
Elements Of Epistemology ~ Chapter 2

More Related Content

What's hot

Proofs for the Existence of God Powerpoint
Proofs for the Existence of God PowerpointProofs for the Existence of God Powerpoint
Proofs for the Existence of God Powerpoint
ARH_Miller
 
The case for teaching syllogistic logic to philosophy students
The case for teaching syllogistic logic to philosophy students The case for teaching syllogistic logic to philosophy students
The case for teaching syllogistic logic to philosophy students
Brendan Larvor
 
Syllogism 2
Syllogism 2Syllogism 2
Syllogism 2
Anne Kaw
 

What's hot (12)

Mediate Inference/Syllogisms
Mediate Inference/SyllogismsMediate Inference/Syllogisms
Mediate Inference/Syllogisms
 
Fallacy of Particular Premises
Fallacy of Particular PremisesFallacy of Particular Premises
Fallacy of Particular Premises
 
Philo 1 inference
Philo 1 inferencePhilo 1 inference
Philo 1 inference
 
Proofs for the Existence of God Powerpoint
Proofs for the Existence of God PowerpointProofs for the Existence of God Powerpoint
Proofs for the Existence of God Powerpoint
 
Syllogism
SyllogismSyllogism
Syllogism
 
Syllogistic figures
Syllogistic figuresSyllogistic figures
Syllogistic figures
 
Categorical Propositions- Logic
Categorical Propositions- LogicCategorical Propositions- Logic
Categorical Propositions- Logic
 
The case for teaching syllogistic logic to philosophy students
The case for teaching syllogistic logic to philosophy students The case for teaching syllogistic logic to philosophy students
The case for teaching syllogistic logic to philosophy students
 
Syllogism 2
Syllogism 2Syllogism 2
Syllogism 2
 
CATEGORICAL SYLLOGISM
CATEGORICAL SYLLOGISMCATEGORICAL SYLLOGISM
CATEGORICAL SYLLOGISM
 
Philosophy of religion1
Philosophy of religion1Philosophy of religion1
Philosophy of religion1
 
Spinoza's Metaphysics
Spinoza's MetaphysicsSpinoza's Metaphysics
Spinoza's Metaphysics
 

Viewers also liked (8)

Business ethics
Business ethicsBusiness ethics
Business ethics
 
Philosophy 100: Chapter 2
Philosophy 100: Chapter 2Philosophy 100: Chapter 2
Philosophy 100: Chapter 2
 
Philosophy educa
Philosophy educaPhilosophy educa
Philosophy educa
 
PPT for Philosophy
PPT for PhilosophyPPT for Philosophy
PPT for Philosophy
 
2 Major fields of philosophy METAPHYSICS AND EPISTEMOLOGY ONLY
2 Major fields of philosophy METAPHYSICS AND EPISTEMOLOGY ONLY2 Major fields of philosophy METAPHYSICS AND EPISTEMOLOGY ONLY
2 Major fields of philosophy METAPHYSICS AND EPISTEMOLOGY ONLY
 
Ethical theories and approaches in business
Ethical theories and approaches in businessEthical theories and approaches in business
Ethical theories and approaches in business
 
Business Ethics an Introduction
Business Ethics an IntroductionBusiness Ethics an Introduction
Business Ethics an Introduction
 
Ch 5 social responsibility and managerial ethics
Ch 5 social responsibility and managerial ethicsCh 5 social responsibility and managerial ethics
Ch 5 social responsibility and managerial ethics
 

Similar to Elements Of Epistemology ~ Chapter 2

Existentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docxExistentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docx
nealwaters20034
 
Existentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docxExistentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docx
elbanglis
 
Term paper of pragmatics presupposition
Term paper of pragmatics presuppositionTerm paper of pragmatics presupposition
Term paper of pragmatics presupposition
Muhammad Sajjad Raja
 
Can you describe defition of fuction according to rationalism,empiri.pdf
Can you describe defition of fuction according to rationalism,empiri.pdfCan you describe defition of fuction according to rationalism,empiri.pdf
Can you describe defition of fuction according to rationalism,empiri.pdf
Amansupan
 
Phiosophy final answers
Phiosophy final answersPhiosophy final answers
Phiosophy final answers
MBBS
 
I am Dr. John Fruncillo and I will be your professor for this on-.docx
I am Dr. John Fruncillo and I will be your professor for this on-.docxI am Dr. John Fruncillo and I will be your professor for this on-.docx
I am Dr. John Fruncillo and I will be your professor for this on-.docx
susanschei
 

Similar to Elements Of Epistemology ~ Chapter 2 (17)

PROBLEMS WITH TRADITIONAL THEISM: FIVE FALLACIOUS ARGUMENTS FOR THE EXISTENCE...
PROBLEMS WITH TRADITIONAL THEISM: FIVE FALLACIOUS ARGUMENTS FOR THE EXISTENCE...PROBLEMS WITH TRADITIONAL THEISM: FIVE FALLACIOUS ARGUMENTS FOR THE EXISTENCE...
PROBLEMS WITH TRADITIONAL THEISM: FIVE FALLACIOUS ARGUMENTS FOR THE EXISTENCE...
 
Existentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docxExistentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docx
 
Existentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docxExistentialism From SartreIn our text, Sartre, in effect, provi.docx
Existentialism From SartreIn our text, Sartre, in effect, provi.docx
 
Kyle Guzik Manifesto 101916 (1)
Kyle Guzik Manifesto 101916 (1)Kyle Guzik Manifesto 101916 (1)
Kyle Guzik Manifesto 101916 (1)
 
How to Think: Introduction to Logic, Lecture 4 with David Gordon - Mises Aca...
How to Think: Introduction to Logic, Lecture 4 with David Gordon  - Mises Aca...How to Think: Introduction to Logic, Lecture 4 with David Gordon  - Mises Aca...
How to Think: Introduction to Logic, Lecture 4 with David Gordon - Mises Aca...
 
550ExistenceII.ppt
550ExistenceII.ppt550ExistenceII.ppt
550ExistenceII.ppt
 
Term paper of pragmatics presupposition
Term paper of pragmatics presuppositionTerm paper of pragmatics presupposition
Term paper of pragmatics presupposition
 
Kalam
KalamKalam
Kalam
 
Incommensurability
IncommensurabilityIncommensurability
Incommensurability
 
Incommensurability - correspondence and seeking of truth
Incommensurability - correspondence and seeking of truthIncommensurability - correspondence and seeking of truth
Incommensurability - correspondence and seeking of truth
 
Philosophy of religion
Philosophy of religionPhilosophy of religion
Philosophy of religion
 
Cosmological Argument
Cosmological ArgumentCosmological Argument
Cosmological Argument
 
A New Look At The Cosmological Argument
A New Look At The Cosmological ArgumentA New Look At The Cosmological Argument
A New Look At The Cosmological Argument
 
Can you describe defition of fuction according to rationalism,empiri.pdf
Can you describe defition of fuction according to rationalism,empiri.pdfCan you describe defition of fuction according to rationalism,empiri.pdf
Can you describe defition of fuction according to rationalism,empiri.pdf
 
A Cosmological Argument for the Existence of God.pdf
A Cosmological Argument for the Existence of God.pdfA Cosmological Argument for the Existence of God.pdf
A Cosmological Argument for the Existence of God.pdf
 
Phiosophy final answers
Phiosophy final answersPhiosophy final answers
Phiosophy final answers
 
I am Dr. John Fruncillo and I will be your professor for this on-.docx
I am Dr. John Fruncillo and I will be your professor for this on-.docxI am Dr. John Fruncillo and I will be your professor for this on-.docx
I am Dr. John Fruncillo and I will be your professor for this on-.docx
 

More from Trinity Blu*** Don't Thank Me for Viewing Shows....but Rather, Pay It Forward :))***

More from Trinity Blu*** Don't Thank Me for Viewing Shows....but Rather, Pay It Forward :))*** (20)

Mi Chico Latino
Mi Chico LatinoMi Chico Latino
Mi Chico Latino
 
Let There Be Christmas!
Let There Be Christmas!Let There Be Christmas!
Let There Be Christmas!
 
Hakuna Matata (nx power lite)
Hakuna Matata (nx power lite)Hakuna Matata (nx power lite)
Hakuna Matata (nx power lite)
 
Baby, Baby, Don't Get Hooked On Me
Baby, Baby, Don't Get Hooked On Me Baby, Baby, Don't Get Hooked On Me
Baby, Baby, Don't Get Hooked On Me
 
The Unitary Child
The Unitary ChildThe Unitary Child
The Unitary Child
 
Colonial Hallucinations
Colonial HallucinationsColonial Hallucinations
Colonial Hallucinations
 
How to Start a Fight...
How to Start a Fight...How to Start a Fight...
How to Start a Fight...
 
Takin' Back My Love
Takin' Back My LoveTakin' Back My Love
Takin' Back My Love
 
Only You
Only YouOnly You
Only You
 
Wallis & Edward, the Prince of Wales.pptx
Wallis & Edward, the Prince of Wales.pptxWallis & Edward, the Prince of Wales.pptx
Wallis & Edward, the Prince of Wales.pptx
 
Dear Marco.....
Dear Marco.....Dear Marco.....
Dear Marco.....
 
Get Well Soon, George!
Get Well Soon, George!Get Well Soon, George!
Get Well Soon, George!
 
Spoonerism
SpoonerismSpoonerism
Spoonerism
 
Devadasi
DevadasiDevadasi
Devadasi
 
Psychomantra ~ Love's Sad Farewell
Psychomantra ~ Love's Sad FarewellPsychomantra ~ Love's Sad Farewell
Psychomantra ~ Love's Sad Farewell
 
My Father
My FatherMy Father
My Father
 
Autumn Leaves~Eva Cassidy
Autumn Leaves~Eva CassidyAutumn Leaves~Eva Cassidy
Autumn Leaves~Eva Cassidy
 
Elle ~ Bar Rafaeli
Elle ~ Bar RafaeliElle ~ Bar Rafaeli
Elle ~ Bar Rafaeli
 
Jacob Petit's Porcelain Creations (nx power lite)
Jacob Petit's Porcelain Creations (nx power lite)Jacob Petit's Porcelain Creations (nx power lite)
Jacob Petit's Porcelain Creations (nx power lite)
 
Towards More Picturesque Speech (Readers Digest)
Towards More Picturesque Speech (Readers Digest)Towards More Picturesque Speech (Readers Digest)
Towards More Picturesque Speech (Readers Digest)
 

Recently uploaded

Poster_density_driven_with_fracture_MLMC.pdf
Poster_density_driven_with_fracture_MLMC.pdfPoster_density_driven_with_fracture_MLMC.pdf
Poster_density_driven_with_fracture_MLMC.pdf
Alexander Litvinenko
 

Recently uploaded (20)

“O BEIJO” EM ARTE .
“O BEIJO” EM ARTE                       .“O BEIJO” EM ARTE                       .
“O BEIJO” EM ARTE .
 
Mattingly "AI and Prompt Design: LLMs with Text Classification and Open Source"
Mattingly "AI and Prompt Design: LLMs with Text Classification and Open Source"Mattingly "AI and Prompt Design: LLMs with Text Classification and Open Source"
Mattingly "AI and Prompt Design: LLMs with Text Classification and Open Source"
 
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
 
Dementia (Alzheimer & vasular dementia).
Dementia (Alzheimer & vasular dementia).Dementia (Alzheimer & vasular dementia).
Dementia (Alzheimer & vasular dementia).
 
Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024
 
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge AppAn Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge App
 
Poster_density_driven_with_fracture_MLMC.pdf
Poster_density_driven_with_fracture_MLMC.pdfPoster_density_driven_with_fracture_MLMC.pdf
Poster_density_driven_with_fracture_MLMC.pdf
 
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
 
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppImproved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
 
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
 
demyelinated disorder: multiple sclerosis.pptx
demyelinated disorder: multiple sclerosis.pptxdemyelinated disorder: multiple sclerosis.pptx
demyelinated disorder: multiple sclerosis.pptx
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
 
An overview of the various scriptures in Hinduism
An overview of the various scriptures in HinduismAn overview of the various scriptures in Hinduism
An overview of the various scriptures in Hinduism
 
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING IIII BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
 
How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17
 
philosophy and it's principles based on the life
philosophy and it's principles based on the lifephilosophy and it's principles based on the life
philosophy and it's principles based on the life
 
Đề tieng anh thpt 2024 danh cho cac ban hoc sinh
Đề tieng anh thpt 2024 danh cho cac ban hoc sinhĐề tieng anh thpt 2024 danh cho cac ban hoc sinh
Đề tieng anh thpt 2024 danh cho cac ban hoc sinh
 
PSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptxPSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptx
 
The Ball Poem- John Berryman_20240518_001617_0000.pptx
The Ball Poem- John Berryman_20240518_001617_0000.pptxThe Ball Poem- John Berryman_20240518_001617_0000.pptx
The Ball Poem- John Berryman_20240518_001617_0000.pptx
 

Elements Of Epistemology ~ Chapter 2

  • 1. Elements of Epistemology Chapter IICorpus Aristotelicum Aristotle's school buildingin Macedonia Corpus Aristotelicum  The collected works of Aristotle (384-322),Corpus Aristotelicum, are divided into logic, physics, and metaphysics. The metaphysics consists of teleology, epistemology, cosmology, ontology, and ethics. Aristotle thought that every entity in the universe moves toward a goal, teleos, inherent in its nature. The principle subjects of teleology thus are development and change. Materialists understood these as mutually interconnected causal chains of events. The idealists think that these chains of events have been initiated and guided by a spiritual, supernatural being. From these deliberations, philosophy developed along two parallel lines. One is realistic and secular, the other is idealistic and religious. The realistic tradition maintains that the concept of supernatural original cause is redundant, unnecessary to understand our world and the meaning of our existence. The idealistic tradition maintains that in order to understand the world and the meaning of our existence, the concept of God is necessary. The next question then is, does God exist? This used to be the central question of epistemology, the Greek episteme meaning 'to know.' Aristotle's Diagrams Aristotle viewed the Universe as a series of concentric spheres. Geosphere (Earth at the center of the Universe)    Hydrosphere (Earth's oceans)    Atmosphere (Air surrounding the Earth)    Pyrosphere (Sphere generating lightning)    Stellarsphere (Stars above the Earth) with the prime mover (the first cause) initiating their spinning motion. Teilhard de Chardin (1881-1955) replaced the Aristotle's pyrosphere with his concept ofnoosphere. He reasoned that while evolution diversified the living forms, humankind reversed this divergent process into a convergent one. While many species are on the verge of extinction, the diverse human cultures are converging toward the omega point. Teilhard de Chardin predicted that after reaching the omega point, humankind will cover the Earth's surface with collective human consciousness, the noosphere (from Greek noos, mind), superimposed on the already-existingbiosphere. He elaborated these concepts in a series of manuscripts (published after his death in books The Phenomenon of Man (1955), The Divine Milieu (1957),The Future of Man (1959), and Hymn of the Universe (1964)). When these manuscripts were discovered in his study, Professor's Chardin was fired from his teaching post and left for China. Pierre de Chardin did not live long enough to witness the emergence of the Internet, which some believe hold the promise to become his noosphere. Aristotle's Logic  An example of Aristotle's writing on this subject follows. An affirmation is the statement of a fact with regard to a subject, and this subject is either a noun or that which has no name; the subject and predicate in an affirmation must each denote a single thing. I have already explained' what is meant by a noun and by that which has no name; for I stated that the expression 'not-man' was not a noun, in the proper sense of the word, but an indefinite noun, denoting as it does in a certain sense a single thing. Similarly the expression 'does not enjoy health' is not a verb proper, but an indefinite verb. Every affirmation, then, and every denial, will consist of a noun and a verb, either definite or indefinite.   There can be no affirmation or denial without a verb; for the expressions 'is', 'will be', 'was', 'is coming to be', and the like are verbs according to our definition, since besides their specific meaning they convey the notion of time. Thus the primary affirmation and denial are 'as follows: 'man is', 'man is not'. Next to these, there are the propositions: 'not-man is', 'not-man is not'. Again we have the propositions: 'every man is, 'every man is not', 'all that is not-man is', 'all that is not-man is not'. The same classification holds good with regard to such periods of time as lie outside the present.   When the verb 'is' is used as a third element in the sentence, there can be positive and negative propositions of two sorts. Thus in the sentence 'man is just' the verb 'is' is used as a third element, call it verb or noun, which you will. Four propositions, therefore, instead of two can be formed with these materials. Two of the four, as regards their affirmation and denial, correspond in their logical sequence with the propositions which deal with a condition of privation; the other two do not correspond with these.   I mean that the verb 'is' is added either to the term 'just' or to the term 'not-just', and two negative propositions are formed in the same way. Thus we have the four propositions. Reference to the subjoined table will make matters clear: A. Affirmation     B. DenialMan is just        Man is not just   /  X /   . Denial           C. Affirmation Not every man is not-just        Every man is not-just Yet here it is not possible, in the same way as in the former case, that the propositions joined in the table by a diagonal line should both be true; though under certain circumstances this is the case.   We have thus set out two pairs of opposite propositions; there are moreover two other pairs, if a term be conjoined with 'not-man', the latter forming a kind of subject. Thus:  A.                                 B. Not-man is just              Not-man is no   /   X         D.   /        C. Not-man is not not-just   Not-man is not-just  This is an exhaustive enumeration of all the pairs of opposite propositions that can possibly be framed. Trinity 21.9.09