SlideShare a Scribd company logo

1.7 The sets of numbers

•
•
J
Jan Plaza

Selected items from Introduction to Set Theory and Methodology and Philosophy of Mathematics and Computer Programming.

Education
1 of 1
Download to read offline
1.7 The sets of numbers

Recommended

6.3 Equivalences versus partitions
6.3 Equivalences versus partitions6.3 Equivalences versus partitions
6.3 Equivalences versus partitionsJan Plaza
 
6.1 Partitions
6.1 Partitions6.1 Partitions
6.1 PartitionsJan Plaza
 
6.2 Reflexivity, symmetry and transitivity (dynamic slides)
6.2 Reflexivity, symmetry and transitivity (dynamic slides)6.2 Reflexivity, symmetry and transitivity (dynamic slides)
6.2 Reflexivity, symmetry and transitivity (dynamic slides)Jan Plaza
 
6.2 Reflexivity, symmetry and transitivity (handout)
6.2 Reflexivity, symmetry and transitivity (handout)6.2 Reflexivity, symmetry and transitivity (handout)
6.2 Reflexivity, symmetry and transitivity (handout)Jan Plaza
 
5.8 Permutations (handout)
5.8 Permutations (handout)5.8 Permutations (handout)
5.8 Permutations (handout)Jan Plaza
 
5.8 Permutations (dynamic slides)
5.8 Permutations (dynamic slides)5.8 Permutations (dynamic slides)
5.8 Permutations (dynamic slides)Jan Plaza
 
5.7 Function powers
5.7 Function powers5.7 Function powers
5.7 Function powersJan Plaza
 
5.6 Function inverse. A handout.
5.6 Function inverse. A handout.5.6 Function inverse. A handout.
5.6 Function inverse. A handout.Jan Plaza
 

Recommended

6.3 Equivalences versus partitions
6.3 Equivalences versus partitions6.3 Equivalences versus partitions
6.3 Equivalences versus partitionsJan Plaza
 
6.1 Partitions
6.1 Partitions6.1 Partitions
6.1 PartitionsJan Plaza
 
6.2 Reflexivity, symmetry and transitivity (dynamic slides)
6.2 Reflexivity, symmetry and transitivity (dynamic slides)6.2 Reflexivity, symmetry and transitivity (dynamic slides)
6.2 Reflexivity, symmetry and transitivity (dynamic slides)Jan Plaza
 
6.2 Reflexivity, symmetry and transitivity (handout)
6.2 Reflexivity, symmetry and transitivity (handout)6.2 Reflexivity, symmetry and transitivity (handout)
6.2 Reflexivity, symmetry and transitivity (handout)Jan Plaza
 
5.8 Permutations (handout)
5.8 Permutations (handout)5.8 Permutations (handout)
5.8 Permutations (handout)Jan Plaza
 
5.8 Permutations (dynamic slides)
5.8 Permutations (dynamic slides)5.8 Permutations (dynamic slides)
5.8 Permutations (dynamic slides)Jan Plaza
 
5.7 Function powers
5.7 Function powers5.7 Function powers
5.7 Function powersJan Plaza
 
5.6 Function inverse. A handout.
5.6 Function inverse. A handout.5.6 Function inverse. A handout.
5.6 Function inverse. A handout.Jan Plaza
 
5.6 Function inverse. Dynamic slides.
5.6 Function inverse. Dynamic slides.5.6 Function inverse. Dynamic slides.
5.6 Function inverse. Dynamic slides.Jan Plaza
 
5.5 Injective and surjective functions. A handout.
5.5 Injective and surjective functions. A handout.5.5 Injective and surjective functions. A handout.
5.5 Injective and surjective functions. A handout.Jan Plaza
 
5.5 Injective and surjective functions. Dynamic slides.
5.5 Injective and surjective functions. Dynamic slides.5.5 Injective and surjective functions. Dynamic slides.
5.5 Injective and surjective functions. Dynamic slides.Jan Plaza
 
5.3 Basic functions. A handout.
5.3 Basic functions. A handout.5.3 Basic functions. A handout.
5.3 Basic functions. A handout.Jan Plaza
 
5.3 Basic functions. Dynamic slides.
5.3 Basic functions. Dynamic slides.5.3 Basic functions. Dynamic slides.
5.3 Basic functions. Dynamic slides.Jan Plaza
 
5.1 Defining and visualizing functions. A handout.
5.1 Defining and visualizing functions. A handout.5.1 Defining and visualizing functions. A handout.
5.1 Defining and visualizing functions. A handout.Jan Plaza
 
5.1 Defining and visualizing functions. Dynamic slides.
5.1 Defining and visualizing functions. Dynamic slides.5.1 Defining and visualizing functions. Dynamic slides.
5.1 Defining and visualizing functions. Dynamic slides.Jan Plaza
 
1.8 Separation schema
1.8 Separation schema1.8 Separation schema
1.8 Separation schemaJan Plaza
 
1.4 Abstract objects and expressions
1.4 Abstract objects and expressions1.4 Abstract objects and expressions
1.4 Abstract objects and expressionsJan Plaza
 
1.2 Axiom of pair
1.2 Axiom of pair1.2 Axiom of pair
1.2 Axiom of pairJan Plaza
 
1.11 Mathematical induction
1.11 Mathematical induction1.11 Mathematical induction
1.11 Mathematical inductionJan Plaza
 
1.6 Subsets
1.6 Subsets1.6 Subsets
1.6 SubsetsJan Plaza
 
1.1 Notions of set and membership
1.1 Notions of set and membership1.1 Notions of set and membership
1.1 Notions of set and membershipJan Plaza
 
5.2. Function composition
5.2. Function composition5.2. Function composition
5.2. Function compositionJan Plaza
 
4.7 Powers of binary relations
4.7 Powers of binary relations4.7 Powers of binary relations
4.7 Powers of binary relationsJan Plaza
 
4.6 Relative product and composition
4.6 Relative product and composition4.6 Relative product and composition
4.6 Relative product and compositionJan Plaza
 
4.5 Inverse relation
4.5 Inverse relation4.5 Inverse relation
4.5 Inverse relationJan Plaza
 
4.4 Set operations on relations
4.4 Set operations on relations4.4 Set operations on relations
4.4 Set operations on relationsJan Plaza
 
4.1 Defining and visualizing binary relations
4.1 Defining and visualizing binary relations4.1 Defining and visualizing binary relations
4.1 Defining and visualizing binary relationsJan Plaza
 
3.7 Indexed families of sets
3.7 Indexed families of sets3.7 Indexed families of sets
3.7 Indexed families of setsJan Plaza
 
9953330565 Low Rate Call Girls In Rohini Delhi NCR
9953330565 Low Rate Call Girls In Rohini Delhi NCR9953330565 Low Rate Call Girls In Rohini Delhi NCR
9953330565 Low Rate Call Girls In Rohini Delhi NCR9953056974 Low Rate Call Girls In Saket, Delhi NCR
 
MARGINALIZATION (Different learners in Marginalized Group
MARGINALIZATION (Different learners in Marginalized GroupMARGINALIZATION (Different learners in Marginalized Group
MARGINALIZATION (Different learners in Marginalized GroupJonathanParaisoCruz
 

More Related Content

More from Jan Plaza

5.6 Function inverse. Dynamic slides.
5.6 Function inverse. Dynamic slides.5.6 Function inverse. Dynamic slides.
5.6 Function inverse. Dynamic slides.Jan Plaza
 
5.5 Injective and surjective functions. A handout.
5.5 Injective and surjective functions. A handout.5.5 Injective and surjective functions. A handout.
5.5 Injective and surjective functions. A handout.Jan Plaza
 
5.5 Injective and surjective functions. Dynamic slides.
5.5 Injective and surjective functions. Dynamic slides.5.5 Injective and surjective functions. Dynamic slides.
5.5 Injective and surjective functions. Dynamic slides.Jan Plaza
 
5.3 Basic functions. A handout.
5.3 Basic functions. A handout.5.3 Basic functions. A handout.
5.3 Basic functions. A handout.Jan Plaza
 
5.3 Basic functions. Dynamic slides.
5.3 Basic functions. Dynamic slides.5.3 Basic functions. Dynamic slides.
5.3 Basic functions. Dynamic slides.Jan Plaza
 
5.1 Defining and visualizing functions. A handout.
5.1 Defining and visualizing functions. A handout.5.1 Defining and visualizing functions. A handout.
5.1 Defining and visualizing functions. A handout.Jan Plaza
 
5.1 Defining and visualizing functions. Dynamic slides.
5.1 Defining and visualizing functions. Dynamic slides.5.1 Defining and visualizing functions. Dynamic slides.
5.1 Defining and visualizing functions. Dynamic slides.Jan Plaza
 
1.8 Separation schema
1.8 Separation schema1.8 Separation schema
1.8 Separation schemaJan Plaza
 
1.4 Abstract objects and expressions
1.4 Abstract objects and expressions1.4 Abstract objects and expressions
1.4 Abstract objects and expressionsJan Plaza
 
1.2 Axiom of pair
1.2 Axiom of pair1.2 Axiom of pair
1.2 Axiom of pairJan Plaza
 
1.11 Mathematical induction
1.11 Mathematical induction1.11 Mathematical induction
1.11 Mathematical inductionJan Plaza
 
1.1 Notions of set and membership
1.1 Notions of set and membership1.1 Notions of set and membership
1.1 Notions of set and membershipJan Plaza
 
5.2. Function composition
5.2. Function composition5.2. Function composition
5.2. Function compositionJan Plaza
 
4.7 Powers of binary relations
4.7 Powers of binary relations4.7 Powers of binary relations
4.7 Powers of binary relationsJan Plaza
 
4.6 Relative product and composition
4.6 Relative product and composition4.6 Relative product and composition
4.6 Relative product and compositionJan Plaza
 
4.5 Inverse relation
4.5 Inverse relation4.5 Inverse relation
4.5 Inverse relationJan Plaza
 
4.4 Set operations on relations
4.4 Set operations on relations4.4 Set operations on relations
4.4 Set operations on relationsJan Plaza
 
4.1 Defining and visualizing binary relations
4.1 Defining and visualizing binary relations4.1 Defining and visualizing binary relations
4.1 Defining and visualizing binary relationsJan Plaza
 
3.7 Indexed families of sets
3.7 Indexed families of sets3.7 Indexed families of sets
3.7 Indexed families of setsJan Plaza
 

More from Jan Plaza (20)

5.6 Function inverse. Dynamic slides.
5.6 Function inverse. Dynamic slides.5.6 Function inverse. Dynamic slides.
5.6 Function inverse. Dynamic slides.
 
5.5 Injective and surjective functions. A handout.
5.5 Injective and surjective functions. A handout.5.5 Injective and surjective functions. A handout.
5.5 Injective and surjective functions. A handout.
 
5.5 Injective and surjective functions. Dynamic slides.
5.5 Injective and surjective functions. Dynamic slides.5.5 Injective and surjective functions. Dynamic slides.
5.5 Injective and surjective functions. Dynamic slides.
 
5.3 Basic functions. A handout.
5.3 Basic functions. A handout.5.3 Basic functions. A handout.
5.3 Basic functions. A handout.
 
5.3 Basic functions. Dynamic slides.
5.3 Basic functions. Dynamic slides.5.3 Basic functions. Dynamic slides.
5.3 Basic functions. Dynamic slides.
 
5.1 Defining and visualizing functions. A handout.
5.1 Defining and visualizing functions. A handout.5.1 Defining and visualizing functions. A handout.
5.1 Defining and visualizing functions. A handout.
 
5.1 Defining and visualizing functions. Dynamic slides.
5.1 Defining and visualizing functions. Dynamic slides.5.1 Defining and visualizing functions. Dynamic slides.
5.1 Defining and visualizing functions. Dynamic slides.
 
1.8 Separation schema
1.8 Separation schema1.8 Separation schema
1.8 Separation schema
 
1.4 Abstract objects and expressions
1.4 Abstract objects and expressions1.4 Abstract objects and expressions
1.4 Abstract objects and expressions
 
1.2 Axiom of pair
1.2 Axiom of pair1.2 Axiom of pair
1.2 Axiom of pair
 
1.11 Mathematical induction
1.11 Mathematical induction1.11 Mathematical induction
1.11 Mathematical induction
 
1.6 Subsets
1.6 Subsets1.6 Subsets
1.6 Subsets
 
1.1 Notions of set and membership
1.1 Notions of set and membership1.1 Notions of set and membership
1.1 Notions of set and membership
 
5.2. Function composition
5.2. Function composition5.2. Function composition
5.2. Function composition
 
4.7 Powers of binary relations
4.7 Powers of binary relations4.7 Powers of binary relations
4.7 Powers of binary relations
 
4.6 Relative product and composition
4.6 Relative product and composition4.6 Relative product and composition
4.6 Relative product and composition
 
4.5 Inverse relation
4.5 Inverse relation4.5 Inverse relation
4.5 Inverse relation
 
4.4 Set operations on relations
4.4 Set operations on relations4.4 Set operations on relations
4.4 Set operations on relations
 
4.1 Defining and visualizing binary relations
4.1 Defining and visualizing binary relations4.1 Defining and visualizing binary relations
4.1 Defining and visualizing binary relations
 
3.7 Indexed families of sets
3.7 Indexed families of sets3.7 Indexed families of sets
3.7 Indexed families of sets
 

Recently uploaded

MARGINALIZATION (Different learners in Marginalized Group
MARGINALIZATION (Different learners in Marginalized GroupMARGINALIZATION (Different learners in Marginalized Group
MARGINALIZATION (Different learners in Marginalized GroupJonathanParaisoCruz
 
Final demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptxFinal demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptxAvyJaneVismanos
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTiammrhaywood
 
Types of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptxTypes of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptxEyham Joco
 
Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon AUnboundStockton
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Celine George
 
Pharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfPharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfMahmoud M. Sallam
 
DATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginnersDATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginnersSabitha Banu
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdfssuser54595a
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsanshu789521
 
Biting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdfBiting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdfadityarao40181
 
Painted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of IndiaPainted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of IndiaVirag Sontakke
 
भारत-रोम व्यापार.pptx, Indo-Roman Trade,
भारत-रोम व्यापार.pptx, Indo-Roman Trade,भारत-रोम व्यापार.pptx, Indo-Roman Trade,
भारत-रोम व्यापार.pptx, Indo-Roman Trade,Virag Sontakke
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxNirmalaLoungPoorunde1
 
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxiammrhaywood
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentInMediaRes1
 

Recently uploaded (20)

9953330565 Low Rate Call Girls In Rohini Delhi NCR
9953330565 Low Rate Call Girls In Rohini Delhi NCR9953330565 Low Rate Call Girls In Rohini Delhi NCR
9953330565 Low Rate Call Girls In Rohini Delhi NCR
 
MARGINALIZATION (Different learners in Marginalized Group
MARGINALIZATION (Different learners in Marginalized GroupMARGINALIZATION (Different learners in Marginalized Group
MARGINALIZATION (Different learners in Marginalized Group
 
Final demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptxFinal demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptx
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
 
Types of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptxTypes of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptx
 
Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon A
 
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17
 
Pharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfPharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdf
 
DATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginnersDATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginners
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha elections
 
Biting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdfBiting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdf
 
Painted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of IndiaPainted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of India
 
भारत-रोम व्यापार.pptx, Indo-Roman Trade,
भारत-रोम व्यापार.pptx, Indo-Roman Trade,भारत-रोम व्यापार.pptx, Indo-Roman Trade,
भारत-रोम व्यापार.pptx, Indo-Roman Trade,
 
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdfTataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptx
 
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media Component