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An extensive discussion of the origin of "Menge" is given in Earliest Known Uses of Some of the Words of Mathematics (scroll down to "Set and Set Theory"). Cantor's (1880) Über unendliche linear Punktmannigfaltigkeiten is one of the earliest uses. It contains the notation $\{\cdots\}$ for a set and introduces the term "Vereinigung" for the union (symbol ${\cal M}$) and Durchschnitt for the intersection (symbol ${\cal D}$)

The symbols $\cap,\cup$ were introduced by Giuseppe Peano in Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann (1888).

_{In this brief work by Schröder (37 pages) the mathematical logic is developed that forms the introduction of the present book. I found it useful to replace the logical symbols $\times,+,A_1,0,1$ used by Schröder by the symbols $\cap,\cup,-A$, ⚪, ⚫ in order to avoid a possible confusion between symbols from logic and from mathematics (a possible confusion noted by Schröder himself). I also introduced the logical symbols $\lt$ and $\gt$, although not strictly necessary...}

An extensive discussion of the origin of "Menge" is given in Earliest Known Uses of Some of the Words of Mathematics (scroll down to "Set and Set Theory"). Cantor's (1880) Über unendliche linear Punktmannigfaltigkeiten is one of the earliest uses. It contains the notation $\{\cdots\}$ for a set and introduces the term "Vereinigung" for the union (symbol ${\cal M}$) and Durchschnitt for the intersection (symbol ${\cal D}$)

Schröder (1877) had previously used the notation $+$ and $\times$ for union and intersection. This was changed into the presently used symbols $\cup$ and $\cap$ by Peano (1888) to avoid confusion with addition and multiplication in algebra.

Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann (1888).

_{In this brief work by Schröder (37 pages) the mathematical logic is developed that forms the introduction of the present book. I found it useful to replace the logical symbols $\times,+,A_1,0,1$ used by Schröder by the symbols $\cap,\cup,-A$, ⚪, ⚫ in order to avoid a possible confusion between symbols from logic and from mathematics (a possible confusion noted by Schröder himself). I also introduced the logical symbols $\lt$ and $\gt$, although not strictly necessary...}

An extensive discussion of the origin of "Menge" is given in Earliest Known Uses of Some of the Words of Mathematics (scroll down to "Set and Set Theory"). Cantor's (1895) Beiträge zur Begründung der transfiniten Mengenlehre is one of the earliest uses. It contains the notation $\{\cdots\}$ for a set and introduces the term "Vereinigung" for the union:

Felix Hausdorff's Grundzüge der Mengenlehre (1914) used "Durchschnitt" for intersection with the symbol ${\cal D}$ (Gothic D), a notation introduced by Cantor.

The symbols $\cap,\cup$ were introduced by Giuseppe Peano in Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann (1888).

_{With a "Menge" we mean any collection $M$ as a whole of definite distinct objects $m$, real or imaginary (called the "elements" of $M$). With symbols this is denoted as $M=\{m\}$. The "Vereinigung" of multiple "Menge" $M,N,P,\ldots,$ having no common elements, is indicated as a whole by $(M,N,P,\ldots).$}

_{In this brief work by Schröder (37 pages) the mathematical logic is developed that forms the introduction of the present book. I found it useful to replace the logical symbols $\times,+,A_1,0,1$ used by Schröder by the symbols $\cap,\cup,-A$, ⚪, ⚫ in order to avoid a possible confusion between symbols from logic and from mathematics (a possible confusion noted by Schröder himself). I also introduced the logical symbols $\lt$ and $\gt$, although not strictly necessary...}

An extensive discussion of the origin of "Menge" is given in Earliest Known Uses of Some of the Words of Mathematics (scroll down to "Set and Set Theory"). Cantor's (1880) Über unendliche linear Punktmannigfaltigkeiten is one of the earliest uses. It contains the notation $\{\cdots\}$ for a set and introduces the term "Vereinigung" for the union (symbol ${\cal M}$) and Durchschnitt for the intersection (symbol ${\cal D}$)

The symbols $\cap,\cup$ were introduced by Giuseppe Peano in Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann (1888).

_{In this brief work by Schröder (37 pages) the mathematical logic is developed that forms the introduction of the present book. I found it useful to replace the logical symbols $\times,+,A_1,0,1$ used by Schröder by the symbols $\cap,\cup,-A$, ⚪, ⚫ in order to avoid a possible confusion between symbols from logic and from mathematics (a possible confusion noted by Schröder himself). I also introduced the logical symbols $\lt$ and $\gt$, although not strictly necessary...}

An extensive discussion of the origin of "Menge" is given in Earliest Known Uses of Some of the Words of Mathematics (scroll down to "Set and Set Theory"). Cantor's (1895) Beiträge zur Begründung der transfiniten Mengenlehre is one of the earliest uses. It contains the notation $\{\cdots\}$ for a set and introduces the term "Vereinigung" for the union:

Felix Hausdorff's Grundzüge der Mengenlehre (1914) used "Durchschnitt" for intersection with the symbol ${\cal D}$ (Gothic D), a notation introduced by Cantor.

The symbols $\cap,\cup$ were introduced by Giuseppe Peano in Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann (1888).

In this brief work by Schröder (37 pages) the mathematical logic is developed that forms the introduction of the present book. I found it useful to replace the logical symbols $\times,+,A_1,0,1$ used by Schröder by the symbols $\cap,\cup,-A$, ⚪, ⚫ in order to avoid a possible confusion between symbols from logic and from mathematics (a possible confusion noted by Schröder himself). I also introduced the logical symbols $\lt$ and $\gt$, although not strictly necessary...

An extensive discussion of the origin of "Menge" is given in Earliest Known Uses of Some of the Words of Mathematics (scroll down to "Set and Set Theory"). Cantor's (1895) Beiträge zur Begründung der transfiniten Mengenlehre is one of the earliest uses. It contains the notation $\{\cdots\}$ for a set and introduces the term "Vereinigung" for the union:

Felix Hausdorff's Grundzüge der Mengenlehre (1914) used "Durchschnitt" for intersection with the symbol ${\cal D}$ (Gothic D), a notation introduced by Cantor.

The symbols $\cap,\cup$ were introduced by Giuseppe Peano in Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann (1888).

_{With a "Menge" we mean any collection $M$ as a whole of definite distinct objects $m$, real or imaginary (called the "elements" of $M$). With symbols this is denoted as $M=\{m\}$. The "Vereinigung" of multiple "Menge" $M,N,P,\ldots,$ having no common elements, is indicated as a whole by $(M,N,P,\ldots).$}

_{In this brief work by Schröder (37 pages) the mathematical logic is developed that forms the introduction of the present book. I found it useful to replace the logical symbols $\times,+,A_1,0,1$ used by Schröder by the symbols $\cap,\cup,-A$, ⚪, ⚫ in order to avoid a possible confusion between symbols from logic and from mathematics (a possible confusion noted by Schröder himself). I also introduced the logical symbols $\lt$ and $\gt$, although not strictly necessary...}