More natural deduction and term sheet overview.
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},
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"fields_dict": {
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"Basic": [
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@ -9,5 +9,5 @@ title: "2024-06-23"
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- [ ] Korean (Read 1 Story)
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* Read chapter 4 ("Numbers") of "An Introduction to Ontology".
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* Notes on [[financing]] rounds.
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* Notes on [[financing-rounds]] rounds.
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* Additional notes on hash tables with [[closed-addressing#Chaining|chaining]] and independent uniform hashing.
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@ -8,4 +8,5 @@ title: "2024-07-22"
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- [ ] Sheet Music (10 min.)
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- [ ] Korean (Read 1 Story)
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* Beginning notes on [[natural-deduction|natural deduction]].
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* Beginning notes on [[natural-deduction|natural deduction]].
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* Read chapter 3 "Overview of the Term Sheet" of "Venture Deals".
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@ -68,6 +68,11 @@ Reference: Gries, David. *The Science of Programming*. Texts and Monographs in
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<!--ID: 1721655978506-->
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END%%
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### Negation
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For proposition $E1$, $$\neg{\text{-}}I{:} \quad \text{TODO}$$
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and $$\neg{\text{-}}E{:} \quad \text{TODO}$$
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### Conjunction
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For propositions $E_1, \ldots, E_n$, $$\land{\text{-}}I{:} \quad \begin{array}{c} E_1, \ldots, E_n \\ \hline E_1 \land \cdots \land E_n \end{array}$$
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@ -174,6 +179,135 @@ Reference: Gries, David. *The Science of Programming*. Texts and Monographs in
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<!--ID: 1721656601613-->
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END%%
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### Implication
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For propositions $E1$ and $E2$, $${\Rightarrow}{\text{-}}I: \quad \text{TODO}$$
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and $${\Rightarrow}{\text{-}}E: \quad \begin{array}{c} E1 \Rightarrow E2, E1 \\ \hline E2 \end{array}$$
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%%ANKI
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Basic
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In natural deduction, how is implication introduction denoted?
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Back: As ${\Rightarrow}{\text{-}}I$.
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721665510225-->
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END%%
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%%ANKI
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Basic
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In natural deduction, how is implication elimination denoted?
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Back: As ${\Rightarrow}{\text{-}}E$.
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721665541946-->
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END%%
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%%ANKI
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Basic
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*Modus ponens* is associated with which propositional logic operator?
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Back: $\Rightarrow$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721665541949-->
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END%%
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%%ANKI
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Basic
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Does *modus ponens* correspond to an introduction or elimination rule?
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Back: Elimination.
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721665541951-->
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END%%
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%%ANKI
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Cloze
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Natural deduction rule {1:$\Rightarrow$}-{1:$E$} is also known as {modus ponens}.
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721665541953-->
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END%%
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%%ANKI
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Basic
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How is ${\Rightarrow}{\text{-}}E$ expressed in schematic notation?
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Back: $$\begin{array}{c} E1 \Rightarrow E2, E1 \\ \hline E2 \end{array}$$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721665510228-->
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END%%
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%%ANKI
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Basic
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How is *modus ponens* expressed in schematic notation?
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Back: $$\begin{array}{c} E1 \Rightarrow E2, E1 \\ \hline E2 \end{array}$$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721665541955-->
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END%%
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%%ANKI
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Basic
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Which natural deduction inference rule is used in the following? $$\begin{array}{c} P \Rightarrow Q, P \\ \hline R \end{array}$$
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Back: N/A.
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244354-->
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END%%
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%%ANKI
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Basic
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Which natural deduction inference rule is used in the following? $$\begin{array}{c} P \Rightarrow Q, P \\ \hline Q \end{array}$$
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Back: ${\Rightarrow}{\text{-}}E$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244357-->
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END%%
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### Biconditional
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For propositions $E1$ and $E2$, $${\Leftrightarrow}{\text{-}}I: \quad \begin{array}{c} E1 \Rightarrow E2, E2 \Rightarrow E1 \\ \hline E1 \Leftrightarrow E2 \end{array}$$
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and $${\Leftrightarrow}{\text{-}}E: \quad \begin{array}{c} E1 \Leftrightarrow E2 \\ \hline E1 \Rightarrow E2, E2 \Rightarrow E1 \end{array}$$
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%%ANKI
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Basic
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In natural deduction, how is biconditional introduction denoted?
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Back: As ${\Leftrightarrow}{\text{-}}I$.
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244359-->
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END%%
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%%ANKI
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Basic
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In natural deduction, how is biconditional elimination denoted?
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Back: As ${\Leftrightarrow}{\text{-}}E$.
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244361-->
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END%%
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%%ANKI
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Basic
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How is ${\Leftrightarrow}{\text{-}}I$ expressed in schematic notation?
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Back: $$\begin{array}{c} E1 \Rightarrow E2, E2 \Rightarrow E1 \\ \hline E1 \Leftrightarrow E2 \end{array}$$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244362-->
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END%%
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%%ANKI
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Basic
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Which natural deduction inference rule is used in the following? $$\begin{array}{c} P \Rightarrow Q, Q \Rightarrow P \\ \hline Q \Leftrightarrow P \end{array}$$
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Back: ${\Leftrightarrow}{\text{-}}I$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244367-->
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END%%
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%%ANKI
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Basic
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How is ${\Leftrightarrow}{\text{-}}E$ expressed in schematic notation?
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Back: $$\begin{array}{c} E1 \Leftrightarrow E2 \\ \hline E1 \Rightarrow E2, E2 \Rightarrow E1 \end{array}$$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244366-->
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END%%
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%%ANKI
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Basic
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Which natural deduction inference rule is used in the following? $$\begin{array}{c} P \Leftrightarrow Q \\ \hline Q \Rightarrow P \end{array}$$
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Back: ${\Leftrightarrow}{\text{-}}E$
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Reference: Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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<!--ID: 1721666244364-->
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END%%
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## Bibliography
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* Gries, David. *The Science of Programming*. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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---
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title: Financing
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title: Financing Rounds
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TARGET DECK: Obsidian::H&SS
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FILE TAGS: startups::financing
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tags:
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@ -0,0 +1,59 @@
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---
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title: Term Sheet
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TARGET DECK: Obsidian::H&SS
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FILE TAGS: startups::term-sheet
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tags:
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- startups
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- term-sheet
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---
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## Overview
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According to Feld et al., there are only two things VCs actually care about when making investments:
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* **Economics**: the return investors ultimately get in a liquidity event;
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* **Control**: mechanisms that allow investors to exercise control over the business and/or veto decisions the company can make.
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%%ANKI
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Basic
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According to Feld et al. what two things do VCs *actually* care about when making investments?
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Back: Economics and control.
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Reference: Brad Feld and Jason Mendelson, _Venture Deals_, 3rd ed., n.d.
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<!--ID: 1721667425673-->
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END%%
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%%ANKI
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Basic
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VCs care about the economics of an investment. What does that refer to?
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Back: The return investors will receive in case of a liquidity event.
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Reference: Brad Feld and Jason Mendelson, _Venture Deals_, 3rd ed., n.d.
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<!--ID: 1721667425676-->
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END%%
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%%ANKI
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Basic
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What terms found in a term sheet relate to "economics"?
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Back: Those related to the return investors receive in a liquidity event.
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Reference: Brad Feld and Jason Mendelson, _Venture Deals_, 3rd ed., n.d.
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<!--ID: 1721667425682-->
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END%%
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%%ANKI
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Basic
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VCs care about the control of an investment. What does that refer to?
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Back: The ability to push and/or veto decisions made by the company.
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Reference: Brad Feld and Jason Mendelson, _Venture Deals_, 3rd ed., n.d.
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<!--ID: 1721667425684-->
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END%%
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%%ANKI
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Basic
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What terms found in a term sheet relate to "control"?
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Back: Those that effect investors ability to push and/or veto decisions.
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Reference: Brad Feld and Jason Mendelson, _Venture Deals_, 3rd ed., n.d.
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<!--ID: 1721667425679-->
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END%%
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## Bibliography
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* Brad Feld and Jason Mendelson, _Venture Deals_, 3rd ed., n.d.
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