diff --git a/src/numeric.ts b/src/numeric.ts
new file mode 100644
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--- /dev/null
+++ b/src/numeric.ts
@@ -0,0 +1,43 @@
+/**
+ * Numeric types
+ *
+ *  Copyright (C) 2010-2019 R-T Specialty, LLC.
+ *
+ *  This file is part of the Liza Data Collection Framework.
+ *
+ *  liza is free software: you can redistribute it and/or modify
+ *  it under the terms of the GNU Affero General Public License as
+ *  published by the Free Software Foundation, either version 3 of the
+ *  License, or (at your option) any later version.
+ *
+ *  This program is distributed in the hope that it will be useful,
+ *  but WITHOUT ANY WARRANTY; without even the implied warranty of
+ *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ *  GNU General Public License for more details.
+ *
+ *  You should have received a copy of the GNU Affero General Public License
+ *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ *
+ * TypeScript's type system does not support algebraic numeric domains.  A
+ * compromise is to provide nominal types that allow developers to assume
+ * that some constraint has been met, and then ensure that the type is only
+ * ever asserted when that constraint is explicitly validated at
+ * runtime.  This allows us to have compile-time checks on numeric values
+ * under the assumption that the runtime will enforce them.
+ *
+ * For this to work, _it is important to always use type predicates_;
+ * if you explicit cast to one of these numeric types, it circumvents the
+ * safety provided by the system and may introduce nasty bugs, since users
+ * of these types assume the provided data has already been validated.
+ */
+
+/**
+  * Any number ≥ 0
+  *
+  * This is useful for array indexing.
+  */
+export type PositiveInteger = NominalType<number, 'PositiveInteger'>;
+
+
+/** Whether the given number is suitable as a PositiveInteger */
+export const isPositiveInteger = ( n: number ): n is PositiveInteger => n >= 0;
diff --git a/test/numeric-test.ts b/test/numeric-test.ts
new file mode 100644
index 0000000..8f07bb6
--- /dev/null
+++ b/test/numeric-test.ts
@@ -0,0 +1,59 @@
+/**
+ * Test numeric types
+ *
+ *  Copyright (C) 2010-2019 R-T Specialty, LLC.
+ *
+ *  This file is part of the Liza Data Collection Framework.
+ *
+ *  liza is free software: you can redistribute it and/or modify
+ *  it under the terms of the GNU Affero General Public License as
+ *  published by the Free Software Foundation, either version 3 of the
+ *  License, or (at your option) any later version.
+ *
+ *  This program is distributed in the hope that it will be useful,
+ *  but WITHOUT ANY WARRANTY; without even the implied warranty of
+ *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ *  GNU General Public License for more details.
+ *
+ *  You should have received a copy of the GNU Affero General Public License
+ *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+import { expect } from 'chai';
+import { PositiveInteger, isPositiveInteger } from "../src/numeric";
+
+
+describe( 'isPositiveInteger', () =>
+{
+    [
+        0,
+        5,
+    ].forEach( value => it( `accepts positive integers (${value})`, () =>
+    {
+        expect( isPositiveInteger( value ) ).to.be.true;
+    } ) );
+
+
+    [
+        -1,
+        -5,
+    ].forEach( value => it( `rejects negative integers (${value})`, () =>
+    {
+        expect( isPositiveInteger( value ) ).to.be.false;
+    } ) );
+
+
+    it( "asserts type PositiveInteger", () =>
+    {
+        const n = 5;
+
+        if ( isPositiveInteger( n ) )
+        {
+            // TS should recognize as PositiveInteger within this block
+            checkPositiveInteger( n );
+        }
+    } );
+} );
+
+
+const checkPositiveInteger = ( _n: PositiveInteger ): void => {};