@MostlyHarmless
Nice Venn diagram! I bet our blind/visually impaired users would get a kick out of this one, too.
Would you be willing to edit your post to add alt text? You could say:
Venn diagram of three intersecting sets. A=anti-vaxxer; B=mountain lion; C=toddler. A && B: wants to kill you. A && C: tells rambling stories. B && C: refuses to take a bath. A && B && C: impossible to deal with.
Though I shudder to think of mixing a toddler with an anti-vaxxer...
@errantscience #VennDiagrams #BarGraphs #PieCharts etc… ✅
But to restrict depiction of #MolecularStructure (including Bader et al.’s #MolecularGraph ⬇️) to two-dimensions would take #science back 150 years, when chemists were ridiculed for believing molecules had a three-dimensional structure!
#MolViz #SciComm #DataViz
#venndiagrams #bargraphs #piecharts #molecularstructure #moleculargraph #Science #molviz #scicomm #dataviz
Ah, the old cat vs inkjet printer Venn diagram!
#venndiagrams #catstodon #Humor #CatsOfMastodon #catmemes
Lovely article from the Hull Daily Mail celebrating the mathematician John Venn (of diagram fame), who was born in Drypool, Hull. Check out the blue plaque.
#VennDiagrams #JohnVenn #Mathematics #Hull #KingstonUponHull
https://www.hulldailymail.co.uk/news/news-opinion/its-time-festival-celebrate-hulls-8003375
#kingstonuponhull #hull #mathematics #johnvenn #venndiagrams
[source unknown]
#venndiagram #venndiagrams #vampires #vampire #transfems #transfem #transfeminine #transwomen #transwoman #transgirls #transgirl #trans #transgender #transsexual
#Venndiagram #venndiagrams #vampires #vampire #transfems #transfem #transfeminine #transwomen #transwoman #transgirls #transgirl #trans #transgender #transsexual
#DifferentialPropositionalCalculus • 7.3
• https://inquiryintoinquiry.com/2020/03/05/differential-propositional-calculus-7/
Figure 10. #VennDiagrams for #SingularPropositions on 3 Variables
• https://inquiryintoinquiry.files.wordpress.com/2020/03/venn-diagrams-e280a2-p-q-r-e280a2-singular-propositions.jpg
Rank 3. The cell \(pqr.\)
Rank 2. The 3 cells \(pr\texttt{(}q\texttt{)}, qr\texttt{(}p\texttt{)}, pq\texttt{(}r\texttt{)}.\)
Rank 1. The 3 cells \(q\texttt{(}p\texttt{)(}r\texttt{)}, p\texttt{(}q\texttt{)(}r\texttt{)}, r\texttt{(}p\texttt{)(}q\texttt{)}.\)
Rank 0. The cell \(\texttt{(}p\texttt{)(}q\texttt{)(}r\texttt{)}.\)
#logic #singularpropositions #venndiagrams #DifferentialPropositionalCalculus
#DifferentialPropositionalCalculus • 7.2
• https://inquiryintoinquiry.com/2020/03/05/differential-propositional-calculus-7/
In a UniverseOfDiscourse based on 3 #BooleanVariables \(p, q, r\) there are \(2^3 = 8\) #SingularPropositions. Their #VennDiagrams are shown in Figure 10.
\(\text{Figure 10. Singular Propositions} : \mathbb{B}^3 \to \mathbb{B}\)
• https://inquiryintoinquiry.files.wordpress.com/2020/03/venn-diagrams-e280a2-p-q-r-e280a2-singular-propositions.jpg
Related Subjects —
#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions
#BooleanFunctions #PropositionalCalculus #DifferentialLogic #LogicalGraphs #logic #venndiagrams #singularpropositions #booleanvariables #DifferentialPropositionalCalculus
A nice short read on #VennDiagrams and #Logic about the strengths/weaknesses of simple conceptual tools when applied as practical tools: https://statmodeling.stat.columbia.edu/2022/11/26/when-a-conceptual-tool-is-used-as-a-practical-tool-venn-diagrams-edition/
#DifferentialPropositionalCalculus • 6.2
• https://inquiryintoinquiry.com/2020/03/02/differential-propositional-calculus-6/
Figure 9. #VennDiagrams for the #PositivePropositions on 3 Variables
• https://inquiryintoinquiry.files.wordpress.com/2020/03/venn-diagrams-e280a2-p-q-r-e280a2-positive-propositions.jpg
Rank 3 (Top). #VennDiagram for the #BooleanProduct or #LogicalConjunction \(pqr.\)
Rank 2. Venn Diagrams for the 3 #BooleanProducts \(pr,\) \(qr,\) \(pq.\)
Rank 1. Venn Diagrams for the 3 #BasicPropositions \(p,\) \(q,\) \(r.\)
Rank 0 (Bottom). Venn Diagram for the #ConstantFunction or the #ConstantProposition \(1.\)
#constantproposition #constantfunction #basicpropositions #booleanproducts #logicalconjunction #booleanproduct #venndiagram #positivepropositions #venndiagrams #DifferentialPropositionalCalculus
#DifferentialPropositionalCalculus • 6.1
• https://inquiryintoinquiry.com/2020/03/02/differential-propositional-calculus-6/
In a #UniverseOfDiscourse based on 3 #BooleanVariables \(p, q, r\) there are \(2^3 = 8\) #PositivePropositions. Their #VennDiagrams are shown in Figure 9.
\(\text{Figure 9. Positive Propositions} : \mathbb{B}^3 \to \mathbb{B}\)
• https://inquiryintoinquiry.files.wordpress.com/2020/03/venn-diagrams-e280a2-p-q-r-e280a2-positive-propositions.jpg
#venndiagrams #positivepropositions #booleanvariables #UniverseOfDiscourse #DifferentialPropositionalCalculus
#DifferentialPropositionalCalculus • 6
• https://inquiryintoinquiry.com/2020/03/02/differential-propositional-calculus-6/
The #PositivePropositions \(\{p:\mathbb{B}^n\to \mathbb{B}\}=(\mathbb{B}^n \xrightarrow{p}\mathbb{B})\) may be written as products:
\[\prod_{i=1}^n e_i~=~e_1 \cdot\ldots\cdot e_n~\text{where}~\left\{\begin{matrix}e_i=a_i\\ \text{or}\\ e_i=1\end{matrix}\right\}~\text{for}~i=1~\text{to}~n.\]
To get a sense of this family's place we'll next draw the #VennDiagrams for the 3 variable case.
#DifferentialLogic #LogicalGraphs #logic #venndiagrams #positivepropositions #DifferentialPropositionalCalculus
#DifferentialPropositionalCalculus • 5.5
• https://inquiryintoinquiry.com/2020/02/29/differential-propositional-calculus-5/
The third row of Figure 8 shows #VennDiagrams for the 3 #LinearPropositions of rank 1, which are none other than the 3 #BasicPropositions, \(p, q, r.\)
For example —
\(\text{Figure 8.3. Venn Diagram for}~p\)
• https://inquiryintoinquiry.files.wordpress.com/2020/02/venn-diagram-e280a2-p-q-r-e280a2-p.jpg
Related Subjects —
#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions\)
#BooleanFunctions #PropositionalCalculus #DifferentialLogic #LogicalGraphs #logic #basicpropositions #linearpropositions #venndiagrams #DifferentialPropositionalCalculus
#DifferentialPropositionalCalculus • 5.4
• https://inquiryintoinquiry.com/2020/02/29/differential-propositional-calculus-5/
The 2nd row of Figure 8 gives #VennDiagrams for the 3 #LinearPropositions of rank 2, expressed in terms of #MinimalNegationOperators by the following 3 forms, respectively:
\[\texttt{(}p\texttt{,}r\texttt{)}, \quad \texttt{(}q\texttt{,}r\texttt{)}, \quad \texttt{(}p\texttt{,}q\texttt{)}.\]
\(\text{Figure 8.2. Venn Diagram for}~\(\texttt{(}p\texttt{,}q\texttt{)}\)
• https://inquiryintoinquiry.files.wordpress.com/2020/02/venn-diagram-e280a2-p-q-r-e280a2-p-q.jpg
#MinimalNegationOperators #linearpropositions #venndiagrams #DifferentialPropositionalCalculus
#DifferentialPropositionalCalculus • 5
• https://inquiryintoinquiry.com/2020/02/29/differential-propositional-calculus-5/
Let’s pause at this point and get a better sense of how our special classes of propositions are structured and how they relate to propositions in general. We can do this by recruiting our visual imaginations and drawing up a sufficient budget of #VennDiagrams for each family of propositions. The case for 3 variables is exemplary enough for a start.
#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions
#BooleanFunctions #PropositionalCalculus #DifferentialLogic #LogicalGraphs #logic #venndiagrams #DifferentialPropositionalCalculus
Something to think about…and think about…
Can you solve it? The enduring appeal of #VennDiagrams | #Science | The Guardian
#venndiagrams #science #mathematics