title: Typescript cannot find module that was defined in "paths" setting
body: <p>In my React project I have a module alias defined in webpack config. I want to start moving over to Typescript.</p>
  
  <p>// I tried to simplify the setup as much as it makes sense</p>
  
  <p>This is my <code>tsconfig.json</code> in the root folder:</p>
  
  <pre><code>{
    "compilerOptions": {
      "target": "es6",
      "module": "es6",
      "moduleResolution": "node",
      "jsx": "react",
      "noImplicitAny": true,
      "strictNullChecks": true,
      "sourceMap": true,
      "lib": [
        "dom",
        "es2015",
        "es2016"
      ],
      "baseUrl": "./src",
      "paths": {
        "app": ["./app"]
      }
    },
    "include": [
      "src/**/*"
    ]
  }
  </code></pre>
  
  <p>This is my project structure:</p>
  
  <pre><code>[rootDir]
  |
  |- [src]
  |  |
  |  |-[app]
  |    |
  |    |-[components]
  |      | ... react components live here
  |      |- Test.tsx
  |      |- SomeComponent.tsx
  |      |- index.js (export { default as Test } from './Test')
  |
  |- tsconfig.json
  |- webpack.config.js
  </code></pre>
  
  <p>I use the <code>awesome-typescript-loader</code> with Webpack 2 and I also included the plugin there to load the paths. I also use Visual Studio Code and it has Typescript built in, but that shows the same error.</p>
  
  <p>In my Typescript component <code>SomeComponent.tsx</code> I want to include another component like so:</p>
  
  <pre><code>import * as React from 'react'
  import { Test } from 'app/components'
  </code></pre>
  
  <p><strong>I get the following error:</strong></p>
  
  <pre><code>Cannot find module 'app/components'
  </code></pre>